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'Weekly Challenge 31: Common Divisor' printed from http://nrich.maths.org/
Find the largest integer which divides every member of the
following sequence: $$ 1^5-1,\ 2^5-2,\ 3^5-3,\cdots\ n^5-n.$$
know ... ?
Although number theory - the study of the natural numbers - does
not typically feature in school curricula it plays a leading role
in university at first year and beyond. Having a good grasp of the
fundamentals of number theory is useful across all disciplines of
mathematics. Moreover, problems in number theory are a great
leisure past time as many require only minimal knowledge of