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3
questions
31
votes
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Have I discovered an analytic function allowing quick factorization?
So I have this apparently smooth, parametrized function:
The function has a single parameter $ m $ and approaches infinity at every $x$ that divides $m$.
It is then defined for real $x$ apart from ...
9
votes
2
answers
840
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Is 641 the Smallest Factor of any Composite Fermat Number?
Consider the sequence $a_n = 2^{2^n}+1$ of so-called Fermat numbers. It's well known that $a_5$ isn't prime ($a_5 = 641 \cdot 6700417$, this is due to Euler). What I want to know about this sequence ...
0
votes
1
answer
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Sum of number of factors of first N numbers [duplicate]
Given a number N ( Value can be large like N < 10^9 ) How can we calculate sum of the number of factors of first N numbers??
Example :
For n = 3
Answer:
= #f(1) + #f(2) + #f(3) --- { #f(n) ->...