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59 (number) : ウィキペディア英語版
59 (number)

59 (fifty-nine) is the natural number following 58 and preceding 60.
==In mathematics==
Fifty-nine is the 17th smallest prime number. The next is sixty-one, with which it comprises a twin prime. 59 is an irregular prime, a safe prime and the 14th supersingular prime. It is an Eisenstein prime with no imaginary part and real part of the form 3n - 1. Since 15! + 1 is divisible by 59 but 59 is not one more than a multiple of 15, 59 is a Pillai prime.
It is also a highly cototient number.
There are 59 stellations of the icosahedron.〔H. S. M. Coxeter, P. Du Val, H. T. Flather, and J. F. Petrie. ''The Fifty-Nine Icosahedra''.〕
59 is one of the factors that divides the smallest composite Euclid number. In this case 59 divides the Euclid number 13# + 1 = 2 × 3 × 5 × 7 × 11 × 13 + 1 = 59 × 509.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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