5000 (number) encyclopedia topics

Selected numbers in the range 5001-5999

5003 - Sophie Germain prime
5020 - amicable number with 5564
5039 - factorial prime, Sophie Germain prime
5040 - 7!, highly composite number
5041 - $71^2$ , 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 - $72^2$
5186 - φ(5186) = 2592
5187 - φ(5187) = 2592
5188 - φ(5189) = 2592, centered heptagonal number
5226 - nonagonal number
5231 - Sophie Germain prime
5244 - $22^2 + 23^2 + cdots + 29^2 = 20^2 + 21^2 + ... + 28^2$
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

5280 = -sqrt[3]{jleft({scriptstylefrac{1}{2}} left(1 + isqrt{67}, right)right) }.

5292 - Kaprekar number
5303 - Sophie Germain prime, balanced prime
5329 - $73^2$ , 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 - $74^2$
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 - $75^2$ , 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 - $76^2$
5777 - smallest counterexample to the conjecture that all odd numbers are of the form $p + 2a^2$
5778 - triangular number
5781 - nonagonal number
5798 - Motzkin number
5807 - safe prime, balanced prime
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 - $77^2$ , centered octagonal number
5939 - safe prime
5967 - decagonal number
5984 - tetrahedral number
5992 - chiliagonal number
5995 - triangular number

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Cardinal	5000 five thousand
Ordinal	5000th five thousandth
Factorization	$2^3 cdot 5^4$
Roman numeral
Roman numeral (Unicode)	,
Binary	1001110001000
Octal	11610
Duodecimal	2A88
Hexadecimal	1388