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For questions on divisors and multiples, mainly but not exclusively of integers, and related and derived notions such as sums of divisors, perfect numbers and so on.

10 votes
2 answers
752 views

Find all $m$ such $2^m+1\mid5^m-1$

The problem comes from a problem I encountered when I wrote the article Find all positive integer $m$ such $$2^{m}+1\mid5^m-1$$ it seem there no solution. I think it might be necessary to use qu …
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3 votes
1 answer
820 views

Find all positive integers $n$ such that $n+\tau{(n)}=2\varphi{(n)}$

Conjecture:Today I have no intention of thinking about this question. I have only got two solutions so far. I guess there are only two solutions, but I won't prove it. Let $n$ be positive integers, s …
math110's user avatar
  • 4,280