5000 (number) - Selected Numbers in The Range 5001–5999

Selected Numbers in The Range 5001–5999

• 5003 – Sophie Germain prime
• 5020 – amicable number with 5564
• 5039 – factorial prime, Sophie Germain prime
• 5040 – 7!, superior highly composite number
• 5041 –, 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
• 5151 – triangular number
• 5167 – cuban prime of the form x = y + 1
• 5171 – Sophie Germain prime
• 5184 –
• 5186 – φ(5186) = 2592
• 5187 – φ(5187) = 2592
• 5188 – φ(5189) = 2592, centered heptagonal number
• 5226 – nonagonal number
• 5231 – Sophie Germain prime
• 5244 –
• 5249 – highly cototient number
• 5253 – triangular number
• 5279 – Sophie Germain prime
• 5280 is the number of feet in a mile. It is evenly 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
• 5303 – Sophie Germain prime, balanced prime
• 5329 –, 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 –
• 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 –, 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 –
• 5777 – smallest counterexample to the conjecture that all odd numbers are of the form
• 5778 – triangular number
• 5781 – nonagonal number
• 5798 – Motzkin number
• 5807 – safe prime, balanced prime
• 5832 – 183
• 5849 – Sophie Germain prime
• 5879 – safe prime, highly cototient number
• 5886 – triangular number
• 5903 – Sophie Germain prime
• 5913 – sum of the first seven factorials
• 5927 – safe prime
• 5929 –, centered octagonal number
• 5939 – safe prime
• 5967 – decagonal number
• 5984 – tetrahedral number
• 5995 – triangular number