Read More
Date: 22-5-2019
2128
Date: 22-8-2019
1377
Date: 10-8-2019
1615
|
The Wolstenholme numbers are defined as the numerators of the generalized harmonic number appearing in Wolstenholme's theorem. The first few are 1, 5, 49, 205, 5269, 5369, 266681, 1077749, ... (OEIS A007406).
By Wolstenholme's theorem, for prime , where is the th Wolstenholme number. In addition, for prime .
The first few prime Wolstenholme numbers are 5, 266681, 40799043101, 86364397717734821, ... (OEIS A123751), which occur at indices , 7, 13, 19, 121, 188, 252, 368, 605, 745, ... (OEIS A111354).
REFERENCES:
Savio, D. Y.; Lamagna, E. A.; and Liu, S.-M. "Summation of Harmonic Numbers." In Computers and Mathematics (Ed. E. Kaltofen and S. M. Watt). New York: Springer-Verlag, pp. 12-20, 1989.
Sloane, N. J. A. Sequences A007406/M4004, A111354, and A123751 in "The On-Line Encyclopedia of Integer Sequences."
|
|
دور النظارات المطلية في حماية العين
|
|
|
|
|
العلماء يفسرون أخيرا السبب وراء ارتفاع جبل إيفرست القياسي
|
|
|
|
|
اختتام المراسم التأبينية التي أهدي ثوابها إلى أرواح شهداء المق*ا*و*مة
|
|
|