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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 …
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 …