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ΑΡΙΘΜΟΙ 4001 - 5000

4002 has a square with the first 3 digits the same as the next 3 digits.
4004 = (10 × 11 × 12 × 13 × 14) / (10 + 11 + 12 + 13 + 14) .
4005 is a triangular number whose internal digits are triangular and whose external digits are triangular.
4006 = ₁₄C₄ + ₁₄C₀ + ₁₄C₀ + ₁₄C₆.
4008 has a square with the last 3 digits the same as the 3 digits before that.
4010 is the magic constant of a 20×20 magic square.
4011 is the sum of the squares of 3 consecutive primes.
4013 is a prime factor of 1111111111111111111111111111111111.
4019 is a prime that remains prime if any digit is deleted.
4023 is the number of ways to tile a 3×23 rectangle with 3×1 rectangles.
4029 is the number of regions formed when all diagonals are drawn in a regular 19-gon.
4030 is a weird number.
4031 is the sum of the cubes of the first 6 primes.
4032 is the number of connected bipartite graphs with 10 vertices.
4033 is a Poulet number.
4037 is a member of the Fibonacci-type sequence starting with 1 and 6.
4040 is an enneagonal pyramidal number.
4047 is a hexagonal pyramidal number.
4048 is a value of n for which n, 2n, 3n, and 4n all use the same number of digits in Roman numerals.
4050 has the property that dropping its first and last digits gives its largest prime factor.
4051 is the number of partitions of 6 items into ordered lists.
4052 is the closest integer to sinh(9).
4053 has a cube that contains only digits 5 and larger.
4055 is the smallest number whose cube contains six 6's.
4056 is the number of possible rook moves on a 13×13 chessboard.

4059 is the sum of 3 consecutive cubes.

4060 = ₃₀C₃.

4062 is the smallest number with the property that its first 8 multiples contain the digit 2.

4063 is a Tribonacci-like number starting from 1, 1, and 1.

4064 is a value of n for which σ(n) = σ(reverse(n)).

4068 is the number of ways to write 26 as the ordered sum of positive squares.

4071 is the number of ways to color the vertices of a triangle with 23 colors, up to rotation.

4074 is a value of n for which σ(n) = 2reverse(n).

4077 has a square whose digits each occur twice.

4078 is a value of n for which n!!!! + 1 is prime.

4080 = ₁₇P₃.

4083 is the number of ways 12 people can line up so that only one person has a taller person in front of him.

4086 is a permutation of the sum of its proper divisors.

4087 is the product of two consecutive primes.

4088 is the maximum number of pieces a torus can be cut into with 28 cuts.

4089 is a centered octahedral number.

4090 is the maximum number of regions a cube can be cut into with 29 cuts.

4093 = 28651 / 7, and each digit is contained in the equation exactly once.

4094 is the Entringer number E(8,2).

4095 and its reverse are both differences of positive 4^th powers.

4096 is the smallest number with 13 divisors.

4097 is the smallest number (besides 2) that can be written as the sum of two cubes or the sum of two 4^th powers.

4098 is the number of subsets of the 26^th roots of unity that add to 1.

4099 has a square with the last 3 digits the same as the 3 digits before that.

4100 = 5555 in base 9.

4104 can be written as the sum of 2 cubes in 2 ways.

4106 is a Friedman number.

4112 is the number of necklaces possible with 17 beads, each being one of 2 colors.

4116 is the number of necklaces (that can't be turned over) possible with 16 beads, each being one of 2 colors.

4119 times the 4119^th prime is a palindrome.

4120 has a cube with a digit sum larger than its 7^th power.

4121 is a number whose product of digits is equal to its sum of digits.

4122 is the number of labeled monoids of order 5 with fixed identity.

4124 is the number of binary partitions of 40.

4128 is the smallest number with the property that its first 10 multiples contain the digit 2.

4132 is the number of connected 3-regular bipartite graphs with 22 vertices.

4140 is the 8^th Bell number.

4141 = 4141₅ + 4141₇ + 4141₈.

4147 is a value of n for which φ(n) = φ(reverse(n)).

4149 is a value of n for which σ(n-1) = σ(n+1).

4150 = 4⁵ + 1⁵ + 5⁵ + 0⁵.

4151 = 4⁵ + 1⁵ + 5⁵ + 1⁵.

4152 = 4⁵ + 1⁵ + 5⁵ + 2.

4153 = 4⁵ + 1⁵ + 5⁵ + 3.

4154 = 4⁵ + 1⁵ + 5⁵ + 4.

4155 = 4⁵ + 1⁵ + 5⁵ + 5.

4156 = 4⁵ + 1⁵ + 5⁵ + 6.

4157 = 4⁵ + 1⁵ + 5⁵ + 7.

4158 = 4⁵ + 1⁵ + 5⁵ + 8.

4159 = 4⁵ + 1⁵ + 5⁵ + 9.

4160 = 4³ + 16³ + 0³.

4161 = 4³ + 16³ + 1³.

4163 is the number of inequivalent asymmetric Ferrers graphs with 32 points.

4167 is a Friedman number.

4175 has a square comprised of the digits 0-7.

4176 has an 8^th root whose decimal part starts with the digits 1-9 in some order.

4180 is the sum of the first 17 Fibonacci numbers.

4181 is the first composite number in the Fibonacci sequence with a prime index.

4183 is a narcissistic number in base 7.

4185 is the smaller number in a Ruth-Aaron pair.

4186 is a hexagonal, 13-gonal, triangular number.

4187 is the smallest Rabin-Miller pseudoprime with an odd reciprocal period.

4188 is a value of n for which σ(n-1) = σ(n+1).

4191 is the number of graphs with 12 vertices and 10 edges.

4192 is the larger number in a Ruth-Aaron pair.

4193 is the number of 3×3 sliding puzzle positions that require exactly 16 moves to solve starting with the hole on a side.

4195 has a sum of prime factors that is equal to the sum of the prime factors of the two preceding numbers.

4196 is the number of 3-regular bipartite graphs with 22 vertices.

4199 is the product of 3 consecutive primes.

4200 is divisible by its reverse.

4202 = 4202₅ + 4202₇ + 4202₈.

4204 and the two numbers before it and after it are all products of exactly 3 primes.

4205 has the property that if each digit is replaced by its square, the resulting number is a square.

4207 is the number of cubic graphs with 16 vertices.

4209 is the number of conjugacy classes of the alternating group A₃₂.

4210 is the number of graphs with 10 vertices with clique number 7.

4211 is a number whose product of digits is equal to its sum of digits.

4215 is a centered dodecahedral number.

4216 is an octagonal pyramidal number.

4217 is the smallest number whose 8^th power has 29 digits.

4219 is a Cuban prime.

4220 is a number n for which the sum of the first n composite numbers is a palindrome.

4222 is the number of 13-hexes with bilateral symmetry.

4223 is the maximum number of 12^th powers needed to sum to any number.

4224 is a palindrome that is one less than a square.

4225 is the smallest number that can be written as the sum of two squares in 12 ways.

4231 is the number of labeled partially ordered sets with 5 elements.

4232 is the number of different products of subsets of the set {1, 2, 3, ... 16}.

4233 is a heptagonal pyramidal number.

4235 has a cube that contains only digits 5 and larger.

4236 has a 4^th power that is the sum of four 4^th powers.

4237 is the number of ordered sequences of coins totaling 30 cents.

4240 is a Leyland number.

4243 = 444 + 22 + 444 + 3333.

4244 is the total number of digits in all the 4-digit primes.

4249 is a value of n for which |cos(n)| is smaller than any previous integer.

4252 is the smallest number in base 8 to have 5 different digits.

4253 is the exponent of a Mersenne prime.

4254 is the number of 7-drafters.

4255 is a centered tetrahedral number.

4257 is the number of triangles formed by connecting the diagonals of a regular 11-gon.

4258 is the sum of the digits of the 18^th Mersenne prime.

4260 is a value of n for which n+1, 2n+1, 3n+1, and 4n+1 are all prime.

4264 is a number whose sum of squares of the divisors is a square.

4267 has a 4^th power that is the sum of four 4^th powers.

4269 has a cube whose first few digits are 77799797....

4276 is the number of (not necessarily distinct) sets of Egyptian fractions that sum to 1 with smallest fraction 1/26.

4278 does not occur in its factorial in base 2.

4279 is the smallest semiprime super Catalan number.

4280 has a square root whose decimal part starts with the digits 0-9 in some order.

4283 is the smallest number with complexity 29.

4285 is a structured hexagonal diamond number.

4288 is a value of n for which n!!!! + 1 is prime.

4290 is a value of n for which _2nC_n is divisible by n².

4291 is the number of necklaces possible with 6 beads, each being one of 6 colors.

4293 has exactly the same digits in 3 different bases.

4294 is a value of n for which σ(n) = φ(n) + φ(n-1) + φ(n-2).

4297 is the smallest prime that is followed by 29 composite numbers.

4300 has the property that if each digit is replaced by its square, the resulting number is a square.

4303 is the number of triangles of any size contained in the triangle of side 25 on a triangular grid.

4305 has exactly the same digits in 3 different bases.

4310 has exactly the same digits in 3 different bases.

4311 is the largest number n known with the property that n-2^k is a pseudoprime for all k>0.

4312 is the smallest number whose 10^th power starts with 7 identical digits.

4320 = (6+4) × (6+3) × (6+2) × (6+0).

4321 has digits in arithmetic sequence.

4324 is the sum of the first 23 squares.

4325 is a member of the Fibonacci-type sequence starting with 4 and 9.

4329 is the only number n so that n, 2n, 4n, and 6n together contain every digit 1-9 exactly twice.

4330 is the number of 4-regular multigraphs with 10 vertices.

4332 = 444 + 3333 + 333 + 222.

4333 has a 4^th power that is the sum of four 4^th powers.

4335 = 444 + 3333 + 3 + 555.

4336 = 4 + 3333 + 333 + 666.

4337 is a value of n for which φ(n) = φ(n-1) + φ(n-2).

4339 = 4 + 3333 + 3 + 999.

4340 is the number of 3×3 sliding puzzle positions that require exactly 27 moves to solve starting with the hole in the center.

4342 appears inside its 4^th power.

4343 has the property that the sum of its prime factors is equal to the product of its digits.

4347 is a value of n for which 2n and 5n together use the digits 1-9 exactly once.

4348 is the number of ways of placing 24 points on a 12×12 grid so that no 3 points are on a line.

4352 has a cube that contains only even digits.

4355 = 2⁴ + 3⁵ + 4⁶.

4356 is two thirds of its reverse.

4357 is the smallest number with the property that its first 5 multiples contain the digit 7.

4359 is a perfect totient number.

4361 is the number of different degree sequences for graphs with 9 vertices.

4364 is a value of n for which σ(n) = σ(n+1).

4365 is a value of n for which 4n and 9n together use each digit exactly once.

4368 = ₁₆C₅.

4369 is an odd number for which a regular polygon is constructible by straightedge and compass.

4371 is a Poulet number.

4374 and its successor are both divisible by 4^th powers.

4375 is a perfect totient number.

4376 and its reverse are both differences of positive cubes.

4378 is the number of partitions of 38 that do not contain 1 as a part.

4380 is the number of ways to place 2 non-attacking bishops on a 10×10 chessboard.

4381 is a stella octangula number.

4382 is the number of primitive sorting networks on 9 elements.

4388 divides 1¹ + 2² + 3³ + ^{. . .} + 4388⁴³⁸⁸.

4390 is a house number.

4392 is a value of n for which n and 4n together use each digit 1-9 exactly once.

4394 is a truncated square pyramid number.

4396 = 157 × 28 and each digit is contained in the equation exactly once.

4398 is the number of subsets of {1, 2, 3, ... 18} that do not contain solutions to x + y = z.

4402 has the property that if each digit is replaced by its square, the resulting number is a square.

4406 is the number of divisors of the 16^th perfect number.

4408 is the number of 20-iamonds with bilateral symmetry.

4410 is a Padovan number.

4413 is the index of a prime Euclid number.

4418 is the number of 7-nons.

4421 = 7! - 6! + 5! - 4 ! + 3! - 2! + 1!.

4422 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 15 stamps.

4423 is the exponent of a Mersenne prime.

4424 2⁵ + 3⁵ + 4⁵ + 5⁵.

4425 is the sum of the first five 5^th powers.

4430 is the rectilinear crossing number of complete graph K₂₅

4431 is the number of graphs with 8 vertices that have 2 automorphisms.

4434 is the sum of its proper divisors that contain the digit 7.

4435 uses the same digits as φ(4435).

4436 is the number of ways to place 4 non-attacking knights on a 5×5 chessboard.

4438 is the number of 15-hexes with reflectional symmetry.

4441 is the number of different solutions to ±1±2...±18 = 1.

4442 is a value of n for which σ(n) is a repdigit.

4443 is a number n for which n²+1 is 10 times another square.

4444 is a repdigit.

4445 is the smallest number that can be written as the sum of 4 distinct positive cubes in 4 ways.

4447 is a Cuban prime.

4449 has a 4^th power that is the sum of four 4^th powers.

4455 is the number of permutations of 12 items that fix 8 elements.

4457 is the closest integer to 22^e.

4460 is the number of 10-ominoes without holes.

4461 is the number of asymmetrical 10-ominoes.

4465 + φ(4465) = 7777.

4467 is the number of terms in the 16^th derivative of f(f(f(x))).

4473 is a value of n for which σ(n) = 2reverse(n).

4475 = 6² + 7³ + 8⁴.

4478 is the number of fullerenes with 66 carbon atoms.

4480 is a value of n for which n, 2n, 3n, and 4n all use the same number of digits in Roman numerals.

4481 is a prime that is the average of two 4^th powers.

4485 is the number of 3×3 sliding puzzle positions that require exactly 16 moves to solve starting with the hole in a corner.

4488 = 256 + 257 + . . . + 272 = 273 + 274 + . . . + 288.

4489 is a square whose digits are non-decreasing.

4493 is the number of ways to divide a 11×11 grid of points into two sets using a straight line.

4495 = ₃₁C₃.

4498 is a value of n for which n, 2n, 3n, and 4n all use the same number of digits in Roman numerals.

4500 is the number of regions formed when all diagonals are drawn in a regular 20-gon.

4502 is the number of unit interval graphs with 10 vertices.

4503 is the largest number that is not the sum of 4 or fewer squares of composites.

4505 is a Zeisel number.

4506 is the sum of its proper divisors that contain the digit 5.

4510 = 4444 + 55 + 11 + 0.

4511 = 4444 + 55 + 11 + 1.

4512 = 4444 + 55 + 11 + 2.

4513 = 4444 + 55 + 11 + 3.

4514 = 4444 + 55 + 11 + 4.

4515 = 4444 + 55 + 11 + 5.

4516 = 4444 + 55 + 11 + 6.

4517 = 4444 + 55 + 11 + 7.

4518 = 4444 + 55 + 11 + 8.

4519 = 4444 + 55 + 11 + 9.

4520 is the number of regions the complex plane is cut into by drawing lines between all pairs of 20^th roots of unity.

4522 is the number of non-intersecting rook paths joining opposite corners of a 8×3 chessboard.

4523 has a square in base 2 that is palindromic.

4524 is the maximum number of pieces a torus can be cut into with 29 cuts.

4526 is the maximum number of regions a cube can be cut into with 30 cuts.

4527 is a value of n for which n and 7n together use each digit 1-9 exactly once.

4530 has the property that the sum of the factorials of its digits is its largest prime factor.

4535 is the number of unlabeled topologies with 7 elements.

4536 is the Stirling number of the first kind s(9,6).

4541 has a square with the first 3 digits the same as the next 3 digits.

4542 is the number of trees on 20 vertices with diameter 5.

4544 is a Kaprekar number for cubes.

4547 is a value of n for which one more than the product of the first n primes is prime.

4548 is the sum of its proper divisors that contain the digit 7.

4550 is the Stirling number of the second kind S(15,13).

4552 has a square with the first 3 digits the same as the next 3 digits.

4556 is the trinomial coefficient T(17,13).

4558 is a member of the Fibonacci-type sequence starting with 1 and 4.

4562 is the number of divisors of the 17^th perfect number.

4563 is an Achilles number.

4565 is the number of partitions of 29.

4567 has digits in arithmetic sequence.

4576 is a truncated tetrahedral number.

4579 is an octahedral number.

4582 is the number of partitions of 52 into distinct parts.

4583 is a value of n for which one less than the product of the first n primes is prime.

4589 is the index of a Fibonacci number whose first 9 digits are the digits 1-9 rearranged.

4591 is a value of n for which n and 8n together use each digit 1-9 exactly once.

4600 is a decagonal pyramidal number.

4604 is a value of n for which |cos(n)| is smaller than any previous integer.

4607 is a Woodall number.

4608 is the number of ways to place 2 non-attacking kings on a 10×10 chessboard.

4609 is a Cullen number.

4610 is a Perrin number.

4613 is the number of graphs with 10 edges.

4614 is the number of ways to stack 27 pennies in contiguous rows so that each penny lies on the table or on two pennies.

4615 is a value of n for which σ(φ(n)) = 2σ(n).

4616 has a square comprised of the digits 0-7.

4619 is a value of n for which 4n and 5n together use each digit exactly once.

4620 is the largest order of a permutation of 30 or 31 elements.

4622 is the number of 12-ominoes that contain 1 hole.

4623 is a value of n for which σ(n) = 2reverse(n).

4624 = 4⁴ + 4⁶ + 4² + 4⁴.

4625 is the number of trees on 16 vertices with diameter 7.

4628 is a Friedman number.

4631 has a cube with only odd digits.

4640 is the number of different score sequences of an 11-team round robin tournament.

4641 is a rhombic dodecahedral number.

4642 is the smallest number whose cube has 11 digits.

4644 is a value of n for which 7n and 9n together use each digit exactly once.

4645 has the property that the concatenation of its prime factors in increasing order is a square.

4647 is a member of the Fibonacci-type sequence starting with 1 and 7.

4649 has a 9^th root that starts 2.55555....

4650 is the maximum number of regions space can be divided into by 25 spheres.

4652 is the number of labeled connected graphs with 6 vertices that have chromatic number 4.

4653 is a value of n for which n and 6n together use each digit 1-9 exactly once.

4655 is the number of 10-ominoes.

4657 is a number that does not have any digits in common with its cube.

4662 is the number of ways to place 2 non-attacking knights on a 10×10 chessboard.

4663 is the number of 12-ominoes that contain holes.

4665 = 33333 in base 6.

4666 is the number of tilted rectangles with vertices in a 13×13 grid.

4672 is a permutation of the sum of its proper divisors.

4675 2⁴ + 3⁴ + 4⁴ + 5⁴ + 6⁴ + 7⁴.

4676 is the sum of the first seven 4^th powers.

4680 is a value of n for which n, n², and n³ have the same digit sum.

4681 = 11111 in base 8.

4682 is the number of subsets of {1,2,3,...,16} that have a sum divisible by 14.

4683 is the number of orderings of 6 objects with ties allowed.

4684 is the number of subsets of {1,2,3,...,15} that have a sum divisible by 7.

4685 is the number of anisohedral 15-hexes.

4686 is the denominator of the 70^th Bernoulli number.

4687 is a value of n for which σ(φ(n)) = 3σ(n).

4688 is 2-automorphic.

4689 is a value of n for which n and 8n together use each digit 1-9 exactly once.

4691 is a value of n for which n and 8n together use each digit 1-9 exactly once.

4695 are the first 4 digits of 4⁴⁶⁹⁵.

4697 is a value of n for which φ(n) = φ(reverse(n)).

4698 is the smallest number so that it and its reverse are divisible by 54.

4705 is the sum of consecutive squares in 2 ways.

4709 is the number of symmetric plane partitions of 31.

4713 is a value of n such that the n^th Cullen number is prime.

4714 is the smallest number whose square begins with four 2's.

4720 is a structured truncated cubic number.

4722 is the number of lines passing through at least 2 points of an 12×12 grid of points.

4723 is the index of a prime Fibonacci number.

4725 is an odd abundant number.

4726 is the smallest number whose cube contains 5 consecutive 5's.

4727 is the sum of the squares. of the first 12 primes.

4730 is the number of multigraphs with 5 vertices and 13 edges.

4732 is a number that does not have any digits in common with its cube.

4734 is the sum of its proper divisors that contain the digit 7.

4735 is a value of n for which 4n and 5n together use each digit exactly once.

4738 is a Menage number.

4740 is the trinomial coefficient T(10,3).

4741 is a value of n for which 4n and 5n together use each digit exactly once.

4743 is a value of n for which 2n and 5n together use the digits 1-9 exactly once.

4748 is a value of n for which σ(n) = φ(n) + φ(n-1) + φ(n-2).

4750 is a hexagonal pyramidal number.

4751 is the starting location of 8888 in the decimal expansion of π.

4752 = (4+4) × (4+7) × (4+5) × (4+2).

4755 has a cube whose digits occur with the same frequency.

4757 is the number of ordered partitions of 23 into distinct parts.

4758 does not occur in its factorial in base 2.

4760 is the sum of consecutive squares in 2 ways.

4761 is the number of subsets of {1,2,3,...,15} that have an integer average.

4762 is the smallest number not a power of 10 whose square contains the same digits.

4764 is an hexagonal prism number.

4766 is the number of rooted trees with 12 vertices.

4769 is a value of n for which 4n and 5n together use each digit exactly once.

4776 is a structured pentagonal hexacontahedral number.

4780 has a square whose digits each occur twice.

4781 is the number of (not necessarily distinct) sets of Egyptian fractions that sum to 1 with smallest fraction 1/20.

4784 has a sum of digits equal to its largest prime factor.

4785 has a square that is the sum of a cube and a 4^th power.

4787 is a value of n for which one more than the product of the first n primes is prime.

4788 is a Keith number.

4793 = 4444 + 7 + 9 + 333.

4797 is a cubic star number.

4798 is a value of n for which n!!! + 1 is prime.

4801 is a number n for which n²+1 is 6 times another square.

4802 can be written as the sum of 2 or 3 positive 4^th powers.

4804 is a value of n for which n, 2n, 3n, and 4n all use the same number of digits in Roman numerals.

4807 is the smallest quasi-Carmichael number in base 10.

4815 is the number of ways to stack 33 boxes in a line so that each box lies on the table or on a box next to 2 boxes.

4819 is a Tetranacci-like number starting from 1, 1, 1, and 1.

4823 is the number of triangles of any size contained in the triangle of side 26 on a triangular grid.

4831 is the smallest prime so that it and the next 2 primes all end in 1.

4832 is a number whose square contains the same digits.

4835 is the number of anisohedral 14-hexes.

4843 is a value of n for which σ(φ(n)) = 2σ(n).

4845 = ₂₀C₄.

4848 is the number of quaternary square-free words of length 8.

4850 is a Wedderburn-Etherington number.

4851 is a pentagonal pyramidal number.

4852 is the sum of the squares of 4 consecutive primes.

4854 does not occur in its factorial in base 2.

4860 is the order of a perfect group.

4862 is the 9^th Catalan number.

4863 is the smallest number that cannot be written as the sum of 273 8^th powers.

4866 is the number of partitions of 48 in which no part occurs only once.

4869 is a value of n for which 3n and 8n together use each digit exactly once.

4875 is the number of graphs with 10 vertices and 3 cycles.

4876 divides the sum of the first 681 composite numbers.

4877 is the largest prime factor of 87654321.

4878 is the number of alternating knots with 13 crossings.

4879 = 238 + 0 + 4641 and has the square 23804641.

4889 2⁶ + 3⁶ + 4⁶.

4890 is a narcissistic number in base 5.

4891 is a narcissistic number in base 5.

4893 is a value of n for which 2n and 7n together use the digits 1-9 exactly once.

4895 is the product of two consecutive Fibonacci numbers.

4896 = ₁₈P₃.

4899 is the sum of the squares of 3 consecutive primes.

4900 is the only non-trivial number which is both square and square pyramidal.

4901 has a base 3 representation that begins with its base 7 representation.

4902 is the starting location of 2222 in the decimal expansion of π.

4905 is the sum of all the 2-digit numbers.

4911 has a 9^th power whose first few digits are 16616111....

4913 is the cube of the sum of its digits.

4917 is the trinomial coefficient T(11,5).

4919 is a prime that remains prime if any digit is deleted.

4920 = 6666 in base 9.

4922 is a number whose sum of divisors is a 5^th power.

4923 and the two numbers before it and after it are all products of exactly 3 primes.

4924 and the two numbers before it and after it are all products of exactly 3 primes.

4927 is a value of n for which 4n and 5n together use each digit exactly once.

4928 is a structured truncated tetrahedral number.

4930 = 6677₉ = 2A2A₁₂ = 2323₁₃ = 1010₁₇, each using two digits exactly twice each.

4931 is a value of n for which 2n and 7n together use the digits 1-9 exactly once.

4933 is the number of digits in the 14^th Fermat number.

4936 = 4 + 44 + 444 + 4444.

4939 has the property that the concatenation of its prime factors in increasing order is a square.

4941 is a centered cube number.

4944 is a value of n for which n φ(n) is a palindrome.

4949 has a 4^th power that is the sum of four 4^th powers.

4950 is both a triangular number and 5 times a triangular number.

4952 is the closest integer to 15^π.

4959 is a value of n for which |cos(n)| is smaller than any previous integer.

4960 = ₃₂C₃.

4961 is a Hexanacci-like number starting from 1, 1, 1, 1, 1, and 1.

4964 is the number of binary partitions of 42.

4967 is the number of partitions of 49 in which no part occurs only once.

4974 is the sum of its proper divisors that contain the digit 8.

4975 is a value of n for which n!!! + 1 is prime.

4979 is a centered tetrahedral number.

4980 has the same digits as the 4980^th prime.

4982 is a number whose sum of divisors is a 5^th power.

4985 is the number of graphs with 8 vertices with clique number 4.

4988 is the smallest multiple of 29 whose digits add to 29.

4990 is the maximum number of pieces a torus can be cut into with 30 cuts.

4991 is a Lucas-Carmichael number.

4992 is the maximum number of regions a cube can be cut into with 31 cuts.

4993 is a Proth prime.

4995 has a 5^th power that is closer to a cube than a square.

4999 is the smallest number whose digits add to 31.

5000 is the largest number whose English name does not repeat any letters.