This question is 1337

Algebra Level 5

Find the number of integers 1 ≤ k ≤ 1336 1 \leq k \leq 1336 such that ( 1337 k ) \dbinom{1337}{k} divides ( 1337 k − 1 ) ( 1337 k + 1 ) \dbinom{1337}{k-1} \dbinom{1337}{k+1} .


The answer is 1222.

Sharky Kesa by Sharky Kesa , 19, United Kingdom

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1 solution

D S
Nov 14, 2017

This was from this year's OMO can be found on AOPS website

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