5000 (number)

• 5003 – Sophie Germain prime
• 5020 – amicable number with 5564
• 5021 – super-prime, twin prime
• 5039 – factorial prime,[1] Sophie Germain prime
• 5040 – 7!, superior highly composite number
• 5041 – 71², centered octagonal number[2]
• 5050 – triangular number, Kaprekar number,[3] sum of first 100 integers
• 5051 – Sophie Germain prime
• 5059 – super-prime
• 5076 – decagonal number[4]
• 5081 – Sophie Germain prime
• 5087 – safe prime
• 5099 – safe prime

• 5107 – super-prime, balanced prime[5]
• 5113 – balanced prime[5]
• 5117 - sum of the first 50 primes
• 5151 – triangular number
• 5167 – cuban prime of the form x = y + 1[6]
• 5171 – Sophie Germain prime
• 5184 – 72²
• 5186 – φ(5186) = 2592
• 5187 – φ(5187) = 2592
• 5188 – φ(5189) = 2592, centered heptagonal number[7]
• 5189 – super-prime

[3]

• 5226 – nonagonal number[8]
• 5231 – Sophie Germain prime
• 5244 – 22² + 23² + … + 29² = 20² + 21² + … + 28²
• 5249 – highly cototient number[9]
• 5253 – triangular number
• 5279 – Sophie Germain prime, 700th prime number
• 5280 is the number of feet in a mile. It is divisible by three, yielding exactly 1760 yards per mile and by 16.5, yielding exactly 320 rods per mile.
• 5280 is connected with both Klein's J-invariant and the Heegner numbers. Specifically

${\displaystyle 5280=-{\sqrt[{3}]{j\left({\scriptstyle {\frac {1}{2}}}\left(1+i{\sqrt {67}}\,\right)\right)}}.}$

• 5281 – super-prime, twin prime
• 5292 – Kaprekar number[3]

• 5303 – Sophie Germain prime, balanced prime[5]
• 5329 – 73², centered octagonal number[2]
• 5333 – Sophie Germain prime
• 5335 – magic constant of n × n normal magic square and n-queens problem for n = 22.
• 5340 – octahedral number[10]
• 5356 – triangular number
• 5365 – decagonal number[4]
• 5381 – super-prime
• 5387 – safe prime, balanced prime[5]
• 5392 – Leyland number[11]
• 5393 – balanced prime[5]
• 5399 – Sophie Germain prime, safe prime

• 5405 – member of a Ruth–Aaron pair with 5406 (either definition)
• 5406 – member of a Ruth–Aaron pair with 5405 (either definition)
• 5419 – Cuban prime of the form x = y + 1[6]
• 5441 – Sophie Germain prime, super-prime
• 5456 – tetrahedral number[12]
• 5459 – highly cototient number[9]
• 5460 – triangular number
• 5461 – super-Poulet number,[13] centered heptagonal number[7]
• 5476 – 74²
• 5483 – safe prime

• 5500 – nonagonal number[8]
• 5501 – Sophie Germain prime
• 5503 – super-prime, twin prime with 5501, cousin prime with 5507
• 5507 – safe prime
• 5525 – square pyramidal number[14]
• 5527 – happy number
• 5536 – tetranacci number[15]
• 5557 – super prime
• 5563 – balanced prime
• 5564 – amicable number with 5020
• 5565 – triangular number
• 5566 – pentagonal pyramidal number[16]
• 5569 – happy number
• 5571 – perfect totient number[17]
• 5581 – prime of the form 2p-1

• 5623 – super-prime
• 5625 – 75², centered octagonal number[2]
• 5639 – Sophie Germain prime, safe prime
• 5651 – super-prime
• 5659 – happy number, completes the eleventh prime quadruplet set
• 5662 – decagonal number[4]
• 5671 – triangular number

• 5701 – super-prime
• 5711 – Sophie Germain prime
• 5719 – Zeisel number,[18] Lucas–Carmichael number[19]
• 5741 – Sophie Germain prime, Pell number,[20] Markov number,[21] centered heptagonal number[7]
• 5749 – super-prime
• 5768 – tribonacci number[22]
• 5776 – 76²
• 5777 – smallest counterexample to the conjecture that all odd numbers are of the form p + 2a²
• 5778 – triangular number
• 5781 – nonagonal number[8]
• 5798 – Motzkin number[23]

• 5801 – super-prime
• 5807 – safe prime, balanced prime
• 5832 – 18³
• 5842 – member of the Padovan sequence[24]
• 5849 – Sophie Germain prime
• 5869 – super-prime
• 5879 – safe prime, highly cototient number[9]
• 5886 – triangular number

• 5903 – Sophie Germain prime
• 5913 – sum of the first seven factorials
• 5927 – safe prime
• 5929 – 77², centered octagonal number[2]
• 5939 – safe prime
• 5967 – decagonal number[4]
• 5984 – tetrahedral number[12]
• 5995 – triangular number