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6h
revised Find the value of the question below
deleted 39 characters in body
6h
answered Find the value of the question below
7h
comment proof of number of prime factors of $n$
Hint: Any number with $20$ prime factors is at least $2^{20}>1000000$.
7h
revised Proof verification regarding asymptotics
added 11 characters in body
7h
comment Proof verification regarding asymptotics
Actually, technically, that step isn't valid. If $\phi(z)=z$ and $f(z)=z^2$ then it is true that $f(z)=o(\phi(z))$ as $z\to 0$, but it is not true that $f(z)/\phi(z)$ is bounded. You have to be more precise.
7h
revised Proof verification regarding asymptotics
added 1 character in body
7h
comment Proof verification regarding asymptotics
It would be good if you could flesh out the claim "That statement implies...," but that is the correct argument.
8h
revised Deriving Euler's theorem from Fermat's little theorem
added 25 characters in body
9h
comment Deriving Euler's theorem from Fermat's little theorem
@HenningMakholm Because he asks an entirely unrelated question in the body of the question about a different equivalence with Fermat.
9h
revised Deriving Euler's theorem from Fermat's little theorem
added 497 characters in body
9h
comment Deriving Euler's theorem from Fermat's little theorem
For what it's worth, the names of the theorems in the title are confusing people - you are using Euler's theorem in a non-standard way. See: en.wikipedia.org/wiki/Euler%27s_theorem
9h
answered Deriving Euler's theorem from Fermat's little theorem
9h
comment Deriving Euler's theorem from Fermat's little theorem
First of all, those two statements ate not the same. The second is only true if $p$ does not divide $a$, while the first is true for any $a$.
10h
comment Puzzle on multiplying by fixed values to reach a target number.
What makes you think it is possible? $4664312$ is not divisible by 3,5 ,7, 11, or 13 and it is not a power of 2.
20h
answered Is every algebraic integer a sum of roots of $x^n - a$?
1d
answered Superior limit of a certain sequence
Jul
31
comment For which values of $x$ does this series converge?
Because it is $\sum (-1)^{2n+1}/(2n+1)$ which is not an alternating series.
Jul
31
comment For which values of $x$ does this series converge?
You can edit your answer to put that information in it. It also does not converge when $x=-1$. Comments should be used to "update" or amend an answer.
Jul
31
comment For which values of $x$ does this series converge?
Not clear what your point is with that comment.
Jul
31
comment For which values of $x$ does this series converge?
Which is all you actually need - that last proof. Your first part is irrelvant. Your hint is irrelevant. See the one-line answer from Euler88, and my comment.