Fermat's little theorem

Number Theory Level 3

Use Fermat's little theorem to find which of the following numbers divides the number X = ( 9999999999999999 ) ( 9999999999 ) X = (9 999 999 999 999 999)(9 999 999 999) .

999 187 12 289

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Vansh Gupta by vansh gupta , 18, India

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1 solution

Vansh Gupta
Feb 6, 2017

can anyone please provide solution to this problem . Thanks

0 Helpful 0 Interesting 0 Brilliant 0 Confused

Given the formula: a^(p-1)-1 ≡ 0 (mod p) and example: 10^(11-1)-1 ≡ 0 (mod p) and problem solved

Kevin Xu - 1 year, 7 months ago

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