5000 (number)

5000 (five thousand) is the natural number following 4999 and preceding 5001. Five thousand is the largest isogrammic number in the English language.

Look up five thousand in Wiktionary, the free dictionary.

Selected numbers in the range 5001–5999

• 5003 – Sophie Germain prime
• 5020 – amicable number with 5564
• 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
• 5076 – decagonal number^[4]
• 5081 – Sophie Germain prime
• 5087 – safe prime
• 5099 – safe prime
• 5107 – 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]
• 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
• 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

• 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]
• 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
• 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
• 5507 – safe prime
• 5525 – square pyramidal number^[14]
• 5536 – tetranacci number^[15]
• 5563 – balanced prime
• 5564 – amicable number with 5020
• 5565 – triangular number
• 5566 – pentagonal pyramidal number^[16]
• 5571 – perfect totient number^[17]
• 5625 – 75², centered octagonal number^[2]
• 5639 – Sophie Germain prime, safe prime
• 5662 – decagonal number^[4]
• 5671 – triangular number
• 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]
• 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]
• 5807 – safe prime, balanced prime
• 5832 – 18³
• 5842 – member of the Padovan sequence^[24]
• 5849 – Sophie Germain prime
• 5879 – safe prime, highly cototient number^[9]
• 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^[2]
• 5939 – safe prime
• 5967 – decagonal number^[4]
• 5984 – tetrahedral number^[12]
• 5995 – triangular number

References