Wolstenholmem,s Theorem
المؤلف:
Guy, R. K.
المصدر:
Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag
الجزء والصفحة:
...
16-1-2020
905
Wolstenholme's Theorem
If 
is a prime 
, then the numerator of the harmonic number
 |
(1)
|
is divisible by 
and the numerator of the generalized harmonic number
 |
(2)
|
is divisible by 
. The numerators of 
are sometimes known as Wolstenholme numbers.
These imply that if 
is prime, then
 |
(3)
|
REFERENCES:
Guy, R. K. Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, p. 85, 1994.
Ribenboim, P. The New Book of Prime Number Records. New York: Springer-Verlag, p. 21, 1989.
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