1+1/2+1/3+1/4+⋯+1/30+1/31 = I/31! Find the remainder when I is divided by 23
Автор: My One Fiftieth Of A Dollar
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Wilson's Theorem an Excellent Modular Arithmetic Reduction Aid for this problem type.
Beginning number theory students may not understand that (p-1)! ≡ -1(mod p) is equivalent to (p-1)! ≡ p - 1(mod p) where p is a prime number. math stack exchange user/contributor evinda expounded on this equivalency July 2014. The easiest explanation of the equivalency is p ≡ 0 (mod p). Montreal mathematician Jonathan Love is interested in related number theoretic topics. Canadian mathematician Thomas Jeffery's generalization is a must read for much more depth and breadth!
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