ΑΡΙΘΜΟΙ 5001 - 6000
5001 appears inside its 4th power.
5002 has a 4th power containing only 4 different digits.
5005 is the smallest palindromic product of 4 consecutive primes.
5009 would be prime if preceded and followed by a 1, 3, 7, or 9.
5010 has a square with the last 3 digits the same as the 3 digits before that.
5016 is a heptagonal pyramidal number.
5020 is an amicable number.
5024 is a member of the Fibonacci-type sequence starting with 2 and 7.
5026 is the number of connected graphs with 11 vertices and 1 cycle.
5030 is the closest integer to 23e.
5036 and the two numbers before it and after it are all products of exactly 3 primes.
5039 is the number of planar partitions of 18.
5040 = 7!
5041 is the largest square known of the form n! + 1.
5042 is the number of subsets of {1,2,3,...,16} that have a sum divisible by 13.
5044 is a value of n for which φ(n) and σ(n) are square.
5046 is the first of five consecutive squareful numbers.
5048 is the number of strongly connected digraphs with 5 vertices.
5049 is an octagonal pyramidal number.
5050 is the sum of the first 100 integers.
5054 = 555 + 0 + 55 + 4444.
5055 has exactly the same digits in 3 different bases.
5056 is the number of ways to flip a coin 13 times and get at least 3 heads in a row.
5057 is the number of squares in a 16×16 grid of squares with diagonals drawn.
5059 is the number of inequivalent asymmetric Ferrers graphs with 33 points.
5061 is a number n whose 5th root has a decimal part that begins with the digits of n.
5069 is the number of square-free graphs with 10 vertices.
5071 is a Lucas 3-step number and a Lucas 4-step number.
5077 has a square whose digits each occur twice.
5078 is the number of rectangles with corners on an 12×12 grid of points.
5080 is a structured truncated octahedral number.
5083 is an centered icosahedral number.
5084 is the number of inequivalent Ferrers graphs with 33 points.
5087 has an eleventh root whose decimal part starts with the digits 1-9 in some order.
5088 divides the sum of the digits of 25088 × 5088!.
5096 is the number of possible rook moves on a 14×14 chessboard.
5098 is the number of 3-valent trees with 17 vertices.
5100 is divisible by its reverse.
5103 and its successor are both divisible by 4th powers.
5104 is the smallest number that can be written as the sum of 3 cubes in 3 ways.
5105 would be prime if preceded and followed by a 1, 3, 7, or 9.
5107 preceded by 5107 1's is prime.
5108 is the number of different flushes in 5 card poker.
5109 is the number of conjugacy classes of the alternating group A33.
5118 is the maximum value of n so that there exist 6 denominations of stamps so that every postage from 1 to n can be paid for with at most 12 stamps.
5120 is the number of edges in a 10 dimensional hypercube.
5130 is a value of n for which φ(n) and σ(n) are square.
5133 is the smallest integer ratio of a 18-digit number to its product of digits.
5134 has the property that the sum of the factorials of its digits is its largest prime factor.
5135 is not the sum of a square, a cube, a 4th power, and a 5th power.
5136 does not occur in its factorial in base 2.
5141 is the sum of the first 17 numbers that have digit sum 17.
5141 is the only four digit number that is reversed in hexadecimal.
5142 is the sum of its proper divisors that contain the digit 7.
5143 = 555 + 111 + 4444 + 33.
5146 has a base 3 representation that begins with its base 7 representation.
5152 is the number of legal rook moves in Chess.
5153 is an Eisenstein-Mersenne prime.
5160 is a hendecagonal pyramidal number.
5161 = 5! + (1+6)! + 1!
5162 = 5! + (1+6)! + 2.
5163 = 5! + (1+6)! + 3.
5164 = 5! + (1+6)! + 4.
5165 = 5! + (1+6)! + 5.
5166 = 5! + (1+6)! + 6.
5167 = 5! + (1+6)! + 7.
5168 has a square root that has four 8's immediately after the decimal point.
5169 = 5! + (1+6)! + 9.
5170 is the number of partitions of 39 that do not contain 1 as a part.
5172 has a cube whose last few digits are ...48848448.
5174 has a 4th power containing only 4 different digits.
5176 is the number of labeled graphs with 6 vertices that have chromatic number 2.
5177 is the number of labeled bipartite graphs with 6 vertices.
5180 is the smallest number whose 7th power has 26 digits.
5181 is a structured octagonal anti-diamond number.
5182 is a number whose sum of divisors is a 5th power.
5183 is the product of twin primes.
5184 is the number of ways to place 2 non-attacking rooks on a 9×9 chessboard.
5185 is the number of 2×2 singular matrices mod 17.
5186 is equal to the sum of its anti-divisors.
5187 is the only number n known for which φ(n-1) = φ(n) = φ(n+1).
5191 is a value of n for which σ(n+1) = 2σ(n).
5199 divides the sum of the cubes of the first 5199 primes.
5200 is divisible by its reverse.
5204 has the property that if each digit is replaced by its square, the resulting number is a square.
5211 has a square root whose decimal part starts with the digits 1-9 in some order.
5216 is a structured hexagonal diamond number.
5218 is the number of 3-colorable graphs connected graphs with 8 vertices.
5220 = 1111 in base 17.
5222 has the property that the sum of the nth powers of its digits is prime for 1 ≤ n &\le 9.
5225 is the number of ways to color the vertices of a triangle with 25 colors, up to rotation.
5226 is the number of ways to color the vertices of a square with 12 colors, up to rotation.
5229 uses the same digits as φ(5229).
5234 has a cube that is only 17 away from a square.
5237 is a value of n for which n and 8n together use each digit 1-9 exactly once.
5239 has a square whose digits each occur twice.
5241 is the starting location of 7777 in the decimal expansion of π.
5242 is the number of ways to place 8 non-attacking kings on a 8×8 chessboard so that there is a king in every row and column.
5244 is the sum of consecutive squares in 2 ways.
5247 is the number of ordered ways to write 1 as a sum of reciprocals of integers no larger than 10.
5248 is the number of ordered ways to write 1 as a sum of reciprocals of integers no larger than 11.
5250 is the number of linear geometries on 10 unlabeled points.
5252 is the maximum number of regions space can be divided into by 26 spheres.
5256 is the number of labeled partially ordered sets of 4 elements.
5257 is a member of the Fibonacci-type sequence starting with 1 and 8.
5258 has a base 8 representation which is the reverse of its base 7 representation.
5260 is the number of multigraphs with 24 vertices and 4 edges.
5264 is the smallest number so that it and its successor are both the product of 2 primes and the 4th power of a prime.
5265 is a Rhonda number.
5269 is the number of binary rooted trees with 18 vertices.
5271 is a value of n for which 2n and 7n together use each digit exactly once.
5274 is the sum of its proper divisors that contain the digit 7.
5278 is the number of ways, up to symmetry, to pick 3 elements of an 8×8 grid.
5279 is the number permutations of {1,2,3,...,20} where adjacent numbers differ by no more than 2.
5280 is the number of feet in a mile.
5281 has a 4th power that is the sum of four 4th powers.
5282 is the number of different arrangements (up to rotation and reflection) of 8 non-attacking rooks on a 8×8 chessboard.
5284 and the two numbers before it and after it are all products of exactly 3 primes.
5289 is a structured rhombic triacontahedral number.
5291 is a value of n for which n(n+1) is a palindrome.
5292 = 28 + 0 + 0 + 5264 and has square 28005264.
5293 is the smallest number that ends an arithmetic progression of 12 numbers with the same prime signature.
5296 is the Entringer number E(8,3).
5306 is the smallest number whose 9th power starts with 4 identical digits.
5309 has the property that if each digit is replaced by its square, the resulting number is a square.
5312 is the index of a prime Woodall number.
5313 is the index of a triangular number containing only 3 different digits.
5314 is a value of n for which |cos(n)| is smaller than any previous integer.
5322 is the starting location of 7777 in the decimal expansion of π.
5324 is the number of binary cube-free words of length 20.
5327 is a value of n for which 2n and 7n together use each digit exactly once.
5328 is the number of one-sided 6-knights.
5332 is a Kaprekar constant in base 3.
5335 is the magic constant of a 22×22 magic square.
5336 is a house number.
5340 is an octahedral number.
5346 = 198 × 27 and each digit is contained in the equation exactly once.
5349 = 12345 in base 8.
5355 is an odd primitive abundant number.
5357 is the smallest number that can not be formed using the digit 1 at most 27 times, together with the symbols +, –, × and ÷.
5358 are the first 8 digits of π5358.
5362 is the number of Chess positions that can be reached after 2 moves by white and 1 move by black.
5364 is a value of n for which 3n and 7n together use each digit exactly once.
5366 is the number of graphs with 8 vertices that have chromatic number 4.
5367 uses the same digits as φ(5367).
5369 is a Wolstenholme number.
5371 is a value of n for which n and 8n together use each digit 1-9 exactly once.
5376 is the order of a perfect group.
5382 is the number of non-intersecting rook paths joining opposite corners of a 6×4 chessboard.
5383 is the number of triangles of any size contained in the triangle of side 27 on a triangular grid.
5387 is the index of a prime Fibonacci number.
5390 is the number of ways to 7-color the faces of a cube.
5392 is a Leyland number.
5399 has a cube whose digits occur with the same frequency.
5400 is divisible by its reverse.
5401 is a member of the Fibonacci-type sequence starting with 3 and 7.
5405 is the smaller number in a Ruth-Aaron pair.
5406 is the number of ways a 9×1 rectangle can be surrounded by 9×1 rectangles.
5408 is an Achilles number.
5409 and its reverse are both differences of positive cubes.
5412 is a value of n so that n(n+4) is a palindrome.
5414 is the number of binary partitions of 43.
5418 is a value of n for which n and 7n together use each digit 1-9 exactly once.
5419 is a Cuban prime.
5422 is the number of semigroups of order 6 with 3 idempotents.
5431 is the smallest number whose 4th power contains 5 consecutive 9's.
5432 has digits in arithmetic sequence.
5434 is the sum of consecutive squares in 2 ways.
5436 is the number of terms in the 10th derivative of f(f(f(f(f(x))))).
5439 is a Rhonda number.
5440 is the number of ways to legally add 2 sets of parentheses to a product of 15 variables.
5443 is the smallest prime p with 17 consecutive quadratic residues mod p.
5446 is the number of ways to to arrange the numbers 1-10 around a circle so that the sums of adjacent numbers are distinct.
5448 is the number of ways to cut a 10×10 chessboard into 2 pieces with equal areas with a cut that only travels up and right.
5455 is a Kaprekar number for cubes.
5456 and its reverse are tetrahedral numbers.
5457 is a number whose sum of divisors is a 5th power.
5460 is both a triangular number and 7 times a triangular number.
5461 is a Poulet number.
5462 is the number of ways to walk along 14 edges of a triangle and end at the original vertex.
5463 has a 4th power that is the sum of four 4th powers.
5464 is the number of subsets of {1,2,3,...,16} that have a sum divisible by 12.
5469 has the property that e5469 is within .00003 of an integer.
5471 contains no 0's in base 3 through base 10.
5472 has a base 3 representation that ends with its base 4 representation.
5473 has a base 3 representation that ends with its base 4 representation.
5474 is a stella octangula number.
5477 and its reverse are both one more than a square.
5478 is the number of graphs with 10 vertices that have chromatic number 2.
5479 is the number of bipartite graphs with 10 vertices.
5482 is the number of 3×3 sliding puzzle positions that require exactly 16 moves to solve starting with the hole in the center.
5483 is the number of unlabeled distributive lattices with 18 elements.
5487 is the maximum number of pieces a torus can be cut into with 31 cuts.
5488 is an Achilles number.
5489 is the maximum number of regions a cube can be cut into with 32 cuts.
5491 has a 4th power that is the sum of four 4th powers.
5493 is the number of integers with complexity 30.
5499 is the average of all the even 4-digit numbers.
5504 is the number of series-parallel networks with 6 labeled edges.
5505 is a value of n for which n!!! - 1 is prime.
5507 has a square root whose decimal part starts with the digits 0-9 in some order.
5508 is the generalized Catalan number C(13,5).
5509 is the number of multigraphs with 8 vertices and 9 edges.
5513 is the number of self-avoiding walks of length 10.
5525 is the smallest number that can be written as the sum of 2 squares in 6 ways.
5530 is a hexagonal pyramidal number.
5533 is the number of graphs with 10 vertices and 2 cycles.
5536 is the 16th Tetranacci number.
5542 is the number of anisohedral 19-ominoes.
5543 has a 4th power that is the sum of four 4th powers.
5544 is the number of permutations of 9 items that fix 4 elements.
5545 is a member of the Fibonacci-type sequence starting with 1 and 5.
5551 is the number of trees on 17 vertices with diameter 6.
5554 is a Kaprekar number for cubes.
5555 is a repdigit.
5557 contains no 0's in base 3 through base 10.
5560 are the first 4 digits of 75560.
5561 has the property that the sum of its prime factors is equal to the product of its digits.
5564 is an amicable number.
5565 is a doubly triangular numbers.
5566 is a pentagonal pyramidal number.
5568 is the number of ways to put 8 checkers on an 8×8 checkerboard so that each row, column, and main diagonal contains exactly one checker.
5571 is a perfect totient number.
5573 is the number of digits in the 6th Cullen prime.
5574 is the number of trees on 31 vertices with diameter 4.
5576 is a decagonal pyramidal number.
5585 is the number of monoids of order 7 with 2 idempotents.
5586 does not occur in its factorial in base 2.
5587 has a 5th root that starts 5.61611166....
5588 is the index of a triangular number containing only 3 different digits.
5591 is the smallest prime that is followed by 31 composite numbers.
5594 is the number of ways to dissect a 14-gon using non-crossing diagonals into polygons with an even number of sides.
5595 is the number of labeled mappings from 6 points to themselves with exactly 3 cycles.
5597 has a cube with only odd digits.
5600 is the number of self-complementary graphs with 13 vertices.
5602 = 22222 in base 7.
5604 is the number of partitions of 30.
5610 is divisible by its reverse.
5611 is the smallest number for which it and the 3 numbers before and after it all have φ(n) divisible by 10.
5612 has the property that dropping its first and last digits gives its largest prime factor.
5616 is the order of a non-cyclic simple group.
5617 is a divisor of the sum of the 4th powers of its divisors.
5619 has a cube that contains the digits 5619 in reverse order.
5620 is the smallest composite number which remains composite when preceded or followed by any digit.
5623 and the primes preceding it and following it are all equal to 7 (mod 16).
5624 is the number of binary 5×5 matrices up to permutations of rows and columns.
5625 has a cube that is the sum of 3 positive cubes.
5629 is the maximum value of n so that there exist 5 denominations of stamps so that every postage from 1 to n can be paid for with at most 16 stamps.
5637 uses the same digits as φ(5637).
5638 is the number of 3×3 sliding puzzle positions that require exactly 17 moves to solve starting with the hole in a corner.
5647 is the closest integer to 24e.
5651 is a number n for which n, n+2, n+6, and n+8 are all prime.
5661 is the trinomial coefficient T(18,14).
5664 is a Rhonda number.
5668 is the number of semigroups of order 6 with 5 idempotents.
5669 is a value of n for which |cos(n)| is smaller than any previous integer.
5670 is a value of n for which φ(n) and σ(n) are square.
5671 is a triangular number that is the product of two primes.
5673 is the smallest number whose 6th power starts with 5 identical digits.
5675 is the number of monic polynomials of degree 13 with integer coefficients whose complex roots are all in the unit disk.
5678 has digits in arithmetic sequence.
5679 is the number of drawings of the complete graph K10 with a minimal number of crossings.
5680 is a value of n for which n!!!! + 1 is prime.
5682 is the sum of its proper divisors that contain the digit 4.
5689 is the largest 4-digit prime with strictly increasing digits.
5690 is the number of isomers of C13H26 containing a double bond.
5691 is the number of different resistances that can be created in a circuit of 11 equal resistors.
5692 is a number that does not have any digits in common with its cube.
5693 = 5555 + 6 + 99 + 33.
5694 = 17082 / 3, and each digit is contained in the equation exactly once.
5696 is the smallest number whose square contains 4 consecutive 4's.
5697 has a 21st power that contains five 5's, six 6's, nine 9's, and seven 7's.
5698 is the smallest number whose 8th power starts with 5 identical digits.
5700 is divisible by its reverse.
5709 is a structured pentakis dodecahedral number.
5711 is the smallest prime p with 18 consecutive quadratic residues mod p.
5712 is the number of Gray codes for a 4-dimensional cube.
5717 is a value of n for which the first n binary digits of π form a prime.
5718 is the number of partitions of 54 into distinct parts.
5719 is a Zeisel number.
5720 is a dodecagonal pyramidal number.
5721 is the number of graphs with 8 vertices that have chromatic number 3.
5723 has the property that its square starts with its reverse.
5729 has a 4th power that is the sum of four 4th powers.
5731 is a value of n for which n (n+2) is a palindrome.
5734 has a square that is a centered pentagonal number.
5737 is the smallest number that can not be formed using the digit 1 at most 22 times, together with the symbols +, × and ^.
5739 is a value of n for which 5n and 7n together use each digit exactly once.
5740 = 7777 in base 9.
5741 is the 11th Pell number.
5742 is a value of n for which 5n and 8n together use each digit exactly once.
5751 is the number of ordered sequences of coins totaling 31 cents.
5754 is the number of ways a loop can cross two parallel lines a total of 12 times.
5755 is the sum of the digits of the 19th Mersenne prime.
5760 is the order of a perfect group.
5767 is the product of two consecutive primes.
5768 is the 16th tribonacci number.
5769 is the number of permutations of 9 elements that have 3rd power equal to the identity permutation.
5770 is a value of n for which φ(n) and σ(n) are square.
5772 are the first 4 decimal digits of Euler's constant.
5773 is the index of a triangular number containing only 3 different digits.
5774 is the smallest number whose square begins with four 3's.
5775 is the smallest value of n for which both n and n+1 are abundant.
5776 is the square of the last half of its digits.
5777 is the smallest multi-digit number which is not the sum of a prime and twice a square.
5778 is the largest Lucas number which is also a triangular number.
5781 is a centered tetrahedral number.
5784 has a square whose digits each occur twice.
5786 = 5555 + 77 + 88 + 66.
5789 is a value of n for which n and 8n together use each digit 1-9 exactly once.
5790 has the same digits as the 5790th prime.
5791 is a value of n for which n and 8n together use each digit 1-9 exactly once.
5793 are the first 4 digits of 5793e.
5795 is a value of n such that the nth Cullen number is prime.
5796 = 138 × 42 and each digit is contained in the equation exactly once.
5798 is the 11th Motzkin number.
5807 is the index of a Wagstaff prime.
5813 is the concatenation of 3 consecutive Fibonacci numbers.
5814 = 19P3.
5817 = 34902 / 6, and each digit is contained in the equation exactly once.
5818 contains no 0's in base 3 through base 10.
5819 has a sum of digits equal to its largest prime factor.
5821 contains no 0's in base 3 through base 10.
5822 is the number of conjugacy classes in the automorphism group of the 16 dimensional hypercube.
5823 is the smallest value of n for which n and 3n together use each digit 1-9 exactly once.
5824 can be written as the difference between two positive cubes in more than one way.
5825 are the first 4 digits of e5825.
5830 is a weird number.
5831 has a sum of digits equal to its largest prime factor.
5832 is a value of n for which n and 3n together use each digit 1-9 exactly once.
5834 is the number of digits of the 21st perfect number.
5839 is a value of n for which n and 8n together use each digit 1-9 exactly once.
5842 is a Padovan number.
5843 has a 5th root that starts 5.66666....
5844 is the number of ways to stack 34 boxes in a line so that each box lies on the table or on a box next to 2 boxes.
5848 has a square that remains square when a 9 is appended to it.
5850 is a value of n for which n-1 and n+1 are twin primes, and so are 2n-1 and 2n+1.
5851 is a value of n for which n, n2, and n3 have the same digit sum.
5853 is the index of a triangular number containing only 3 different digits.
5856 = 1 × 6 × 16 × 61.
5858 has a square whose digits each occur twice.
5859 can be written as the difference between two positive cubes in more than one way.
5860 is the sum of the squares of 4 consecutive primes.
5863 is the starting location of 7777 in the decimal expansion of π.
5864 has a 14th power that contains five 5's, eight 8's, six 6's, and four 4's.
5865 is an enneagonal pyramidal number.
5867 is a member of the Fibonacci-type sequence starting with 1 and 9.
5868 is a value of n for which n, n2, and n3 have the same digit sum.
5870 has a digit sum smaller than its cube.
5872 = 5555 + 88 + 7 + 222.
5873 divides 11 + 22 + 33 + . . . + 58735873.
5876 is the number of ways to color the vertices of a triangle with 26 colors, up to rotation.
5877 is a value of n for which 5n and 8n, or 8n and 9n, together use each digit exactly once.
5879 is the smallest number so that it and the next 10 numbers all have an odd number of prime factors.
5880 is the Stirling number of the second kind S(10,7).
5885 is a number whose sum of divisors is a 5th power.
5886 is a value of n for which 3n and 5n together use each digit exactly once.
5890 is a heptagonal pyramidal number.
5892 is a value of n for which n and 8n together use each digit 1-9 exactly once.
5895 is the number of necklaces possible with 7 beads, each being one of 5 colors.
5896 is the number of ways to tile a 3×24 rectangle with 3×1 rectangles.
5900 is the number of ways to place 32 points on a 16×16 grid so that no 3 points are on a line.
5904 has a square comprised of the digits 1-8.
5906 is the smallest number which is the sum of 2 rational 4th powers but is not the sum of two integer 4th powers.
5909 is the number of symmetric plane partitions of 32.
5913 = 1! + 2! + 3! + 4! + 5! + 6! + 7!
5914 = 0! + 1! + 2! + 3! + 4! + 5! + 6! + 7!
5915 is the sum of consecutive squares in 2 ways.
5916 is a value of n for which n and 8n together use each digit 1-9 exactly once.
5921 is a value of n for which n and 8n together use each digit 1-9 exactly once.
5923 is the largest n so that Q(√n) has class number 7.
5925 is the index of a triangular number containing only 3 different digits.
5926 + φ(5926) = 8888.
5929 is a square which is also the sum of 11 consecutive squares.
5931 is the number of one-sided 7-kings.
5934 is a value of n for which 5n and 7n together use each digit exactly once.
5935 is a Smith brother.
5936 is divisible by the digits it does not contain, and not divisible by the digits it contains.
5938 is the number of binary partitions of 44.
5939 is the smallest prime so that it and the next 2 primes are all equal to 3 (mod 7).
5940 is divisible by its reverse.
5941 is the number of interior intersections when all the diagonals of a regular 22-gon are drawn.
5943 is a value of n for which n, n+1, n+2, and n+3 have the same number of divisors.
5950 is the sum of the digits of the 20th Mersenne prime.
5953 and the primes preceding it and following it are all equal to 3 (mod 14).
5958 is the number of subsets of {1,2,3,...,16} that have a sum divisible by 11.
5959 is the smaller number in a Ruth-Aaron pair.
5960 is the larger number in a Ruth-Aaron pair.
5963 is the number of intersections when all the diagonals of a regular 22-gon are drawn.
5967 is a value of n for which 6n and 7n together use each digit exactly once.
5968 has a square which uses the digits 0-7 each exactly once.
5972 is the smallest number that appears in its factorial 8 times.
5974 is the number of connected planar graphs with 8 vertices.
5975 is a value of n for which σ(n) = σ(reverse(n)).
5976 is a value of n for which n and 7n together use each digit 1-9 exactly once.
5978 is a value of n where φ(n) is the product of the digits of n.
5984 = 34C3.
5985 = 21C4.
5986 and its prime factors contain every digit from 1-9 exactly once.
5993 is the largest number known which is not the sum of a prime and twice a square.
5994 is the number of lattices on 10 unlabeled nodes.
5995 is a palindromic triangular number.
5996 is a truncated tetrahedral number.
5999 is the smallest number whose digits add to 32.
6000 is the number of subsets of the 24th roots of unity that add to 1.
5002 has a 4th power containing only 4 different digits.
5005 is the smallest palindromic product of 4 consecutive primes.
5009 would be prime if preceded and followed by a 1, 3, 7, or 9.
5010 has a square with the last 3 digits the same as the 3 digits before that.
5016 is a heptagonal pyramidal number.
5020 is an amicable number.
5024 is a member of the Fibonacci-type sequence starting with 2 and 7.
5026 is the number of connected graphs with 11 vertices and 1 cycle.
5030 is the closest integer to 23e.
5036 and the two numbers before it and after it are all products of exactly 3 primes.
5039 is the number of planar partitions of 18.
5040 = 7!
5041 is the largest square known of the form n! + 1.
5042 is the number of subsets of {1,2,3,...,16} that have a sum divisible by 13.
5044 is a value of n for which φ(n) and σ(n) are square.
5046 is the first of five consecutive squareful numbers.
5048 is the number of strongly connected digraphs with 5 vertices.
5049 is an octagonal pyramidal number.
5050 is the sum of the first 100 integers.
5054 = 555 + 0 + 55 + 4444.
5055 has exactly the same digits in 3 different bases.
5056 is the number of ways to flip a coin 13 times and get at least 3 heads in a row.
5057 is the number of squares in a 16×16 grid of squares with diagonals drawn.
5059 is the number of inequivalent asymmetric Ferrers graphs with 33 points.
5061 is a number n whose 5th root has a decimal part that begins with the digits of n.
5069 is the number of square-free graphs with 10 vertices.
5071 is a Lucas 3-step number and a Lucas 4-step number.
5077 has a square whose digits each occur twice.
5078 is the number of rectangles with corners on an 12×12 grid of points.
5080 is a structured truncated octahedral number.
5083 is an centered icosahedral number.
5084 is the number of inequivalent Ferrers graphs with 33 points.
5087 has an eleventh root whose decimal part starts with the digits 1-9 in some order.
5088 divides the sum of the digits of 25088 × 5088!.
5096 is the number of possible rook moves on a 14×14 chessboard.
5098 is the number of 3-valent trees with 17 vertices.
5100 is divisible by its reverse.
5103 and its successor are both divisible by 4th powers.
5104 is the smallest number that can be written as the sum of 3 cubes in 3 ways.
5105 would be prime if preceded and followed by a 1, 3, 7, or 9.
5107 preceded by 5107 1's is prime.
5108 is the number of different flushes in 5 card poker.
5109 is the number of conjugacy classes of the alternating group A33.
5118 is the maximum value of n so that there exist 6 denominations of stamps so that every postage from 1 to n can be paid for with at most 12 stamps.
5120 is the number of edges in a 10 dimensional hypercube.
5130 is a value of n for which φ(n) and σ(n) are square.
5133 is the smallest integer ratio of a 18-digit number to its product of digits.
5134 has the property that the sum of the factorials of its digits is its largest prime factor.
5135 is not the sum of a square, a cube, a 4th power, and a 5th power.
5136 does not occur in its factorial in base 2.
5141 is the sum of the first 17 numbers that have digit sum 17.
5141 is the only four digit number that is reversed in hexadecimal.
5142 is the sum of its proper divisors that contain the digit 7.
5143 = 555 + 111 + 4444 + 33.
5146 has a base 3 representation that begins with its base 7 representation.
5152 is the number of legal rook moves in Chess.
5153 is an Eisenstein-Mersenne prime.
5160 is a hendecagonal pyramidal number.
5161 = 5! + (1+6)! + 1!
5162 = 5! + (1+6)! + 2.
5163 = 5! + (1+6)! + 3.
5164 = 5! + (1+6)! + 4.
5165 = 5! + (1+6)! + 5.
5166 = 5! + (1+6)! + 6.
5167 = 5! + (1+6)! + 7.
5168 has a square root that has four 8's immediately after the decimal point.
5169 = 5! + (1+6)! + 9.
5170 is the number of partitions of 39 that do not contain 1 as a part.
5172 has a cube whose last few digits are ...48848448.
5174 has a 4th power containing only 4 different digits.
5176 is the number of labeled graphs with 6 vertices that have chromatic number 2.
5177 is the number of labeled bipartite graphs with 6 vertices.
5180 is the smallest number whose 7th power has 26 digits.
5181 is a structured octagonal anti-diamond number.
5182 is a number whose sum of divisors is a 5th power.
5183 is the product of twin primes.
5184 is the number of ways to place 2 non-attacking rooks on a 9×9 chessboard.
5185 is the number of 2×2 singular matrices mod 17.
5186 is equal to the sum of its anti-divisors.
5187 is the only number n known for which φ(n-1) = φ(n) = φ(n+1).
5191 is a value of n for which σ(n+1) = 2σ(n).
5199 divides the sum of the cubes of the first 5199 primes.
5200 is divisible by its reverse.
5204 has the property that if each digit is replaced by its square, the resulting number is a square.
5211 has a square root whose decimal part starts with the digits 1-9 in some order.
5216 is a structured hexagonal diamond number.
5218 is the number of 3-colorable graphs connected graphs with 8 vertices.
5220 = 1111 in base 17.
5222 has the property that the sum of the nth powers of its digits is prime for 1 ≤ n &\le 9.
5225 is the number of ways to color the vertices of a triangle with 25 colors, up to rotation.
5226 is the number of ways to color the vertices of a square with 12 colors, up to rotation.
5229 uses the same digits as φ(5229).
5234 has a cube that is only 17 away from a square.
5237 is a value of n for which n and 8n together use each digit 1-9 exactly once.
5239 has a square whose digits each occur twice.
5241 is the starting location of 7777 in the decimal expansion of π.
5242 is the number of ways to place 8 non-attacking kings on a 8×8 chessboard so that there is a king in every row and column.
5244 is the sum of consecutive squares in 2 ways.
5247 is the number of ordered ways to write 1 as a sum of reciprocals of integers no larger than 10.
5248 is the number of ordered ways to write 1 as a sum of reciprocals of integers no larger than 11.
5250 is the number of linear geometries on 10 unlabeled points.
5252 is the maximum number of regions space can be divided into by 26 spheres.
5256 is the number of labeled partially ordered sets of 4 elements.
5257 is a member of the Fibonacci-type sequence starting with 1 and 8.
5258 has a base 8 representation which is the reverse of its base 7 representation.
5260 is the number of multigraphs with 24 vertices and 4 edges.
5264 is the smallest number so that it and its successor are both the product of 2 primes and the 4th power of a prime.
5265 is a Rhonda number.
5269 is the number of binary rooted trees with 18 vertices.
5271 is a value of n for which 2n and 7n together use each digit exactly once.
5274 is the sum of its proper divisors that contain the digit 7.
5278 is the number of ways, up to symmetry, to pick 3 elements of an 8×8 grid.
5279 is the number permutations of {1,2,3,...,20} where adjacent numbers differ by no more than 2.
5280 is the number of feet in a mile.
5281 has a 4th power that is the sum of four 4th powers.
5282 is the number of different arrangements (up to rotation and reflection) of 8 non-attacking rooks on a 8×8 chessboard.
5284 and the two numbers before it and after it are all products of exactly 3 primes.
5289 is a structured rhombic triacontahedral number.
5291 is a value of n for which n(n+1) is a palindrome.
5292 = 28 + 0 + 0 + 5264 and has square 28005264.
5293 is the smallest number that ends an arithmetic progression of 12 numbers with the same prime signature.
5296 is the Entringer number E(8,3).
5306 is the smallest number whose 9th power starts with 4 identical digits.
5309 has the property that if each digit is replaced by its square, the resulting number is a square.
5312 is the index of a prime Woodall number.
5313 is the index of a triangular number containing only 3 different digits.
5314 is a value of n for which |cos(n)| is smaller than any previous integer.
5322 is the starting location of 7777 in the decimal expansion of π.
5324 is the number of binary cube-free words of length 20.
5327 is a value of n for which 2n and 7n together use each digit exactly once.
5328 is the number of one-sided 6-knights.
5332 is a Kaprekar constant in base 3.
5335 is the magic constant of a 22×22 magic square.
5336 is a house number.
5340 is an octahedral number.
5346 = 198 × 27 and each digit is contained in the equation exactly once.
5349 = 12345 in base 8.
5355 is an odd primitive abundant number.
5357 is the smallest number that can not be formed using the digit 1 at most 27 times, together with the symbols +, –, × and ÷.
5358 are the first 8 digits of π5358.
5362 is the number of Chess positions that can be reached after 2 moves by white and 1 move by black.
5364 is a value of n for which 3n and 7n together use each digit exactly once.
5366 is the number of graphs with 8 vertices that have chromatic number 4.
5367 uses the same digits as φ(5367).
5369 is a Wolstenholme number.
5371 is a value of n for which n and 8n together use each digit 1-9 exactly once.
5376 is the order of a perfect group.
5382 is the number of non-intersecting rook paths joining opposite corners of a 6×4 chessboard.
5383 is the number of triangles of any size contained in the triangle of side 27 on a triangular grid.
5387 is the index of a prime Fibonacci number.
5390 is the number of ways to 7-color the faces of a cube.
5392 is a Leyland number.
5399 has a cube whose digits occur with the same frequency.
5400 is divisible by its reverse.
5401 is a member of the Fibonacci-type sequence starting with 3 and 7.
5405 is the smaller number in a Ruth-Aaron pair.
5406 is the number of ways a 9×1 rectangle can be surrounded by 9×1 rectangles.
5408 is an Achilles number.
5409 and its reverse are both differences of positive cubes.
5412 is a value of n so that n(n+4) is a palindrome.
5414 is the number of binary partitions of 43.
5418 is a value of n for which n and 7n together use each digit 1-9 exactly once.
5419 is a Cuban prime.
5422 is the number of semigroups of order 6 with 3 idempotents.
5431 is the smallest number whose 4th power contains 5 consecutive 9's.
5432 has digits in arithmetic sequence.
5434 is the sum of consecutive squares in 2 ways.
5436 is the number of terms in the 10th derivative of f(f(f(f(f(x))))).
5439 is a Rhonda number.
5440 is the number of ways to legally add 2 sets of parentheses to a product of 15 variables.
5443 is the smallest prime p with 17 consecutive quadratic residues mod p.
5446 is the number of ways to to arrange the numbers 1-10 around a circle so that the sums of adjacent numbers are distinct.
5448 is the number of ways to cut a 10×10 chessboard into 2 pieces with equal areas with a cut that only travels up and right.
5455 is a Kaprekar number for cubes.
5456 and its reverse are tetrahedral numbers.
5457 is a number whose sum of divisors is a 5th power.
5460 is both a triangular number and 7 times a triangular number.
5461 is a Poulet number.
5462 is the number of ways to walk along 14 edges of a triangle and end at the original vertex.
5463 has a 4th power that is the sum of four 4th powers.
5464 is the number of subsets of {1,2,3,...,16} that have a sum divisible by 12.
5469 has the property that e5469 is within .00003 of an integer.
5471 contains no 0's in base 3 through base 10.
5472 has a base 3 representation that ends with its base 4 representation.
5473 has a base 3 representation that ends with its base 4 representation.
5474 is a stella octangula number.
5477 and its reverse are both one more than a square.
5478 is the number of graphs with 10 vertices that have chromatic number 2.
5479 is the number of bipartite graphs with 10 vertices.
5482 is the number of 3×3 sliding puzzle positions that require exactly 16 moves to solve starting with the hole in the center.
5483 is the number of unlabeled distributive lattices with 18 elements.
5487 is the maximum number of pieces a torus can be cut into with 31 cuts.
5488 is an Achilles number.
5489 is the maximum number of regions a cube can be cut into with 32 cuts.
5491 has a 4th power that is the sum of four 4th powers.
5493 is the number of integers with complexity 30.
5499 is the average of all the even 4-digit numbers.
5504 is the number of series-parallel networks with 6 labeled edges.
5505 is a value of n for which n!!! - 1 is prime.
5507 has a square root whose decimal part starts with the digits 0-9 in some order.
5508 is the generalized Catalan number C(13,5).
5509 is the number of multigraphs with 8 vertices and 9 edges.
5513 is the number of self-avoiding walks of length 10.
5525 is the smallest number that can be written as the sum of 2 squares in 6 ways.
5530 is a hexagonal pyramidal number.
5533 is the number of graphs with 10 vertices and 2 cycles.
5536 is the 16th Tetranacci number.
5542 is the number of anisohedral 19-ominoes.
5543 has a 4th power that is the sum of four 4th powers.
5544 is the number of permutations of 9 items that fix 4 elements.
5545 is a member of the Fibonacci-type sequence starting with 1 and 5.
5551 is the number of trees on 17 vertices with diameter 6.
5554 is a Kaprekar number for cubes.
5555 is a repdigit.
5557 contains no 0's in base 3 through base 10.
5560 are the first 4 digits of 75560.
5561 has the property that the sum of its prime factors is equal to the product of its digits.
5564 is an amicable number.
5565 is a doubly triangular numbers.
5566 is a pentagonal pyramidal number.
5568 is the number of ways to put 8 checkers on an 8×8 checkerboard so that each row, column, and main diagonal contains exactly one checker.
5571 is a perfect totient number.
5573 is the number of digits in the 6th Cullen prime.
5574 is the number of trees on 31 vertices with diameter 4.
5576 is a decagonal pyramidal number.
5585 is the number of monoids of order 7 with 2 idempotents.
5586 does not occur in its factorial in base 2.
5587 has a 5th root that starts 5.61611166....
5588 is the index of a triangular number containing only 3 different digits.
5591 is the smallest prime that is followed by 31 composite numbers.
5594 is the number of ways to dissect a 14-gon using non-crossing diagonals into polygons with an even number of sides.
5595 is the number of labeled mappings from 6 points to themselves with exactly 3 cycles.
5597 has a cube with only odd digits.
5600 is the number of self-complementary graphs with 13 vertices.
5602 = 22222 in base 7.
5604 is the number of partitions of 30.
5610 is divisible by its reverse.
5611 is the smallest number for which it and the 3 numbers before and after it all have φ(n) divisible by 10.
5612 has the property that dropping its first and last digits gives its largest prime factor.
5616 is the order of a non-cyclic simple group.
5617 is a divisor of the sum of the 4th powers of its divisors.
5619 has a cube that contains the digits 5619 in reverse order.
5620 is the smallest composite number which remains composite when preceded or followed by any digit.
5623 and the primes preceding it and following it are all equal to 7 (mod 16).
5624 is the number of binary 5×5 matrices up to permutations of rows and columns.
5625 has a cube that is the sum of 3 positive cubes.
5629 is the maximum value of n so that there exist 5 denominations of stamps so that every postage from 1 to n can be paid for with at most 16 stamps.
5637 uses the same digits as φ(5637).
5638 is the number of 3×3 sliding puzzle positions that require exactly 17 moves to solve starting with the hole in a corner.
5647 is the closest integer to 24e.
5651 is a number n for which n, n+2, n+6, and n+8 are all prime.
5661 is the trinomial coefficient T(18,14).
5664 is a Rhonda number.
5668 is the number of semigroups of order 6 with 5 idempotents.
5669 is a value of n for which |cos(n)| is smaller than any previous integer.
5670 is a value of n for which φ(n) and σ(n) are square.
5671 is a triangular number that is the product of two primes.
5673 is the smallest number whose 6th power starts with 5 identical digits.
5675 is the number of monic polynomials of degree 13 with integer coefficients whose complex roots are all in the unit disk.
5678 has digits in arithmetic sequence.
5679 is the number of drawings of the complete graph K10 with a minimal number of crossings.
5680 is a value of n for which n!!!! + 1 is prime.
5682 is the sum of its proper divisors that contain the digit 4.
5689 is the largest 4-digit prime with strictly increasing digits.
5690 is the number of isomers of C13H26 containing a double bond.
5691 is the number of different resistances that can be created in a circuit of 11 equal resistors.
5692 is a number that does not have any digits in common with its cube.
5693 = 5555 + 6 + 99 + 33.
5694 = 17082 / 3, and each digit is contained in the equation exactly once.
5696 is the smallest number whose square contains 4 consecutive 4's.
5697 has a 21st power that contains five 5's, six 6's, nine 9's, and seven 7's.
5698 is the smallest number whose 8th power starts with 5 identical digits.
5700 is divisible by its reverse.
5709 is a structured pentakis dodecahedral number.
5711 is the smallest prime p with 18 consecutive quadratic residues mod p.
5712 is the number of Gray codes for a 4-dimensional cube.
5717 is a value of n for which the first n binary digits of π form a prime.
5718 is the number of partitions of 54 into distinct parts.
5719 is a Zeisel number.
5720 is a dodecagonal pyramidal number.
5721 is the number of graphs with 8 vertices that have chromatic number 3.
5723 has the property that its square starts with its reverse.
5729 has a 4th power that is the sum of four 4th powers.
5731 is a value of n for which n (n+2) is a palindrome.
5734 has a square that is a centered pentagonal number.
5737 is the smallest number that can not be formed using the digit 1 at most 22 times, together with the symbols +, × and ^.
5739 is a value of n for which 5n and 7n together use each digit exactly once.
5740 = 7777 in base 9.
5741 is the 11th Pell number.
5742 is a value of n for which 5n and 8n together use each digit exactly once.
5751 is the number of ordered sequences of coins totaling 31 cents.
5754 is the number of ways a loop can cross two parallel lines a total of 12 times.
5755 is the sum of the digits of the 19th Mersenne prime.
5760 is the order of a perfect group.
5767 is the product of two consecutive primes.
5768 is the 16th tribonacci number.
5769 is the number of permutations of 9 elements that have 3rd power equal to the identity permutation.
5770 is a value of n for which φ(n) and σ(n) are square.
5772 are the first 4 decimal digits of Euler's constant.
5773 is the index of a triangular number containing only 3 different digits.
5774 is the smallest number whose square begins with four 3's.
5775 is the smallest value of n for which both n and n+1 are abundant.
5776 is the square of the last half of its digits.
5777 is the smallest multi-digit number which is not the sum of a prime and twice a square.
5778 is the largest Lucas number which is also a triangular number.
5781 is a centered tetrahedral number.
5784 has a square whose digits each occur twice.
5786 = 5555 + 77 + 88 + 66.
5789 is a value of n for which n and 8n together use each digit 1-9 exactly once.
5790 has the same digits as the 5790th prime.
5791 is a value of n for which n and 8n together use each digit 1-9 exactly once.
5793 are the first 4 digits of 5793e.
5795 is a value of n such that the nth Cullen number is prime.
5796 = 138 × 42 and each digit is contained in the equation exactly once.
5798 is the 11th Motzkin number.
5807 is the index of a Wagstaff prime.
5813 is the concatenation of 3 consecutive Fibonacci numbers.
5814 = 19P3.
5817 = 34902 / 6, and each digit is contained in the equation exactly once.
5818 contains no 0's in base 3 through base 10.
5819 has a sum of digits equal to its largest prime factor.
5821 contains no 0's in base 3 through base 10.
5822 is the number of conjugacy classes in the automorphism group of the 16 dimensional hypercube.
5823 is the smallest value of n for which n and 3n together use each digit 1-9 exactly once.
5824 can be written as the difference between two positive cubes in more than one way.
5825 are the first 4 digits of e5825.
5830 is a weird number.
5831 has a sum of digits equal to its largest prime factor.
5832 is a value of n for which n and 3n together use each digit 1-9 exactly once.
5834 is the number of digits of the 21st perfect number.
5839 is a value of n for which n and 8n together use each digit 1-9 exactly once.
5842 is a Padovan number.
5843 has a 5th root that starts 5.66666....
5844 is the number of ways to stack 34 boxes in a line so that each box lies on the table or on a box next to 2 boxes.
5848 has a square that remains square when a 9 is appended to it.
5850 is a value of n for which n-1 and n+1 are twin primes, and so are 2n-1 and 2n+1.
5851 is a value of n for which n, n2, and n3 have the same digit sum.
5853 is the index of a triangular number containing only 3 different digits.
5856 = 1 × 6 × 16 × 61.
5858 has a square whose digits each occur twice.
5859 can be written as the difference between two positive cubes in more than one way.
5860 is the sum of the squares of 4 consecutive primes.
5863 is the starting location of 7777 in the decimal expansion of π.
5864 has a 14th power that contains five 5's, eight 8's, six 6's, and four 4's.
5865 is an enneagonal pyramidal number.
5867 is a member of the Fibonacci-type sequence starting with 1 and 9.
5868 is a value of n for which n, n2, and n3 have the same digit sum.
5870 has a digit sum smaller than its cube.
5872 = 5555 + 88 + 7 + 222.
5873 divides 11 + 22 + 33 + . . . + 58735873.
5876 is the number of ways to color the vertices of a triangle with 26 colors, up to rotation.
5877 is a value of n for which 5n and 8n, or 8n and 9n, together use each digit exactly once.
5879 is the smallest number so that it and the next 10 numbers all have an odd number of prime factors.
5880 is the Stirling number of the second kind S(10,7).
5885 is a number whose sum of divisors is a 5th power.
5886 is a value of n for which 3n and 5n together use each digit exactly once.
5890 is a heptagonal pyramidal number.
5892 is a value of n for which n and 8n together use each digit 1-9 exactly once.
5895 is the number of necklaces possible with 7 beads, each being one of 5 colors.
5896 is the number of ways to tile a 3×24 rectangle with 3×1 rectangles.
5900 is the number of ways to place 32 points on a 16×16 grid so that no 3 points are on a line.
5904 has a square comprised of the digits 1-8.
5906 is the smallest number which is the sum of 2 rational 4th powers but is not the sum of two integer 4th powers.
5909 is the number of symmetric plane partitions of 32.
5913 = 1! + 2! + 3! + 4! + 5! + 6! + 7!
5914 = 0! + 1! + 2! + 3! + 4! + 5! + 6! + 7!
5915 is the sum of consecutive squares in 2 ways.
5916 is a value of n for which n and 8n together use each digit 1-9 exactly once.
5921 is a value of n for which n and 8n together use each digit 1-9 exactly once.
5923 is the largest n so that Q(√n) has class number 7.
5925 is the index of a triangular number containing only 3 different digits.
5926 + φ(5926) = 8888.
5929 is a square which is also the sum of 11 consecutive squares.
5931 is the number of one-sided 7-kings.
5934 is a value of n for which 5n and 7n together use each digit exactly once.
5935 is a Smith brother.
5936 is divisible by the digits it does not contain, and not divisible by the digits it contains.
5938 is the number of binary partitions of 44.
5939 is the smallest prime so that it and the next 2 primes are all equal to 3 (mod 7).
5940 is divisible by its reverse.
5941 is the number of interior intersections when all the diagonals of a regular 22-gon are drawn.
5943 is a value of n for which n, n+1, n+2, and n+3 have the same number of divisors.
5950 is the sum of the digits of the 20th Mersenne prime.
5953 and the primes preceding it and following it are all equal to 3 (mod 14).
5958 is the number of subsets of {1,2,3,...,16} that have a sum divisible by 11.
5959 is the smaller number in a Ruth-Aaron pair.
5960 is the larger number in a Ruth-Aaron pair.
5963 is the number of intersections when all the diagonals of a regular 22-gon are drawn.
5967 is a value of n for which 6n and 7n together use each digit exactly once.
5968 has a square which uses the digits 0-7 each exactly once.
5972 is the smallest number that appears in its factorial 8 times.
5974 is the number of connected planar graphs with 8 vertices.
5975 is a value of n for which σ(n) = σ(reverse(n)).
5976 is a value of n for which n and 7n together use each digit 1-9 exactly once.
5978 is a value of n where φ(n) is the product of the digits of n.
5984 = 34C3.
5985 = 21C4.
5986 and its prime factors contain every digit from 1-9 exactly once.
5993 is the largest number known which is not the sum of a prime and twice a square.
5994 is the number of lattices on 10 unlabeled nodes.
5995 is a palindromic triangular number.
5996 is a truncated tetrahedral number.
5999 is the smallest number whose digits add to 32.
6000 is the number of subsets of the 24th roots of unity that add to 1.
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