5000 (five thousand) is the natural number following 4999 and preceding 5001. Five thousand is the largest isogrammic number in the English language.
5003 – Sophie Germain prime
5020 – amicable number with 5564
5039 – factorial prime, Sophie Germain prime
5040 – 7!, superior highly composite number
5041 – 712, centered octagonal number
5050 – triangular number, Kaprekar number, sum of first 100 integers
5051 – Sophie Germain prime
5076 – decagonal number
5081 – Sophie Germain prime
5087 – safe prime
5099 – safe prime
5107 – balanced prime
5113 – balanced prime
5117 - sum of the first 50 primes
5151 – triangular number
5167 – cuban prime of the form x = y + 1
5171 – Sophie Germain prime
5184 – 722
5186 – φ(5186) = 2592
5187 – φ(5187) = 2592
5188 – φ(5189) = 2592, centered heptagonal number
5226 – nonagonal number
5231 – Sophie Germain prime
5244 – 222 + 232 + … + 292 = 202 + 212 + … + 282
5249 – highly cototient number
5253 – triangular number
5279 – Sophie Germain prime
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
5280
=
−
j
(
1
2
(
1
+
i
67
)
)
3
.
5292 – Kaprekar number
5303 – Sophie Germain prime, balanced prime
5329 – 732, centered octagonal number
5333 – Sophie Germain prime
5335 – magic constant of n × n normal magic square and n-queens problem for n = 22.
5340 – octahedral number
5356 – triangular number
5365 – decagonal number
5387 – safe prime, balanced prime
5392 – Leyland number
5393 – balanced prime
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
5441 – Sophie Germain prime
5456 – tetrahedral number
5459 – highly cototient number
5460 – triangular number
5461 – super-Poulet number, centered heptagonal number
5476 – 742
5483 – safe prime
5500 – nonagonal number
5501 – Sophie Germain prime
5507 – safe prime
5525 – square pyramidal number
5536 – tetranacci number
5563 – balanced prime
5564 – amicable number with 5020
5565 – triangular number
5566 – pentagonal pyramidal number
5571 – perfect totient number
5625 – 752, centered octagonal number
5639 – Sophie Germain prime, safe prime
5662 – decagonal number
5671 – triangular number
5711 – Sophie Germain prime
5719 – Zeisel number, Lucas–Carmichael number
5741 – Sophie Germain prime, Pell number, Markov number, centered heptagonal number
5768 – tribonacci number
5776 – 762
5777 – smallest counterexample to the conjecture that all odd numbers are of the form p + 2a2
5778 – triangular number
5781 – nonagonal number
5798 – Motzkin number
5807 – safe prime, balanced prime
5832 – 183
5842 – member of the Padovan sequence
5849 – Sophie Germain prime
5879 – safe prime, highly cototient number
5886 – triangular number
5903 – Sophie Germain prime
5910 - largest number whose factorial less than 265536
5913 – sum of the first seven factorials
5927 – safe prime
5929 – 772, centered octagonal number
5939 – safe prime
5967 – decagonal number
5984 – tetrahedral number
5995 – triangular number
5000 (number) Wikipedia (Text) CC BY-SA