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ASP
  • Member for 4 years, 2 months
  • Last seen more than a month ago
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question
9
Prove that there are no composite integers $n=am+1$ such that $m \ | \ \phi(n)$
Oct 7, 2020
question
6
The Diophantine equation $ (xz+1)(yz+1)=az^{3}+1$ has no solutions in positive integers with $z > a^2+2a$
Mar 20, 2021
question
6
Is $xz+1 $ a proper divisor of $a_3z^3+a_2z^2+a_1z+1$ finitely often?
May 5, 2021
question
6
Positive integer solutions to the diophantine equation $(xz+1)(yz+1)=z^4+z^3 +z^2 +z+1$
Sep 9, 2021
question
6
Are there finitely many primes $x$ such that for a fixed odd prime $p$, $n=x^{p-1}+x^{p-2}+\dotsb + x+1$ is composite and $x \mid \phi(n)$?
Oct 5, 2021
answer
6
The Diophantine equation $ (xz+1)(yz+1)=az^{3}+1$ has no solutions in positive integers with $z > a^2+2a$
Mar 29, 2021
answer
5
Are there finitely many primes $x$ such that for a fixed odd prime $p$, $n=x^{p-1}+x^{p-2}+\dotsb + x+1$ is composite and $x \mid \phi(n)$?
Oct 7, 2021
question
2
Positive divisors of $P(x,n)=1+x+x^2+ \cdots + x^n$ that are congruent to $1$ modulo $x$
Sep 26, 2021
question
1
A new perspective on Lehmer's totient problem
Jan 27, 2021
question
1
Finding all proper divisors of $a_3z^3 +a_2z^2 +a_1z+1$ of the form $xz+1$
May 24, 2021
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24
Prove that there are no composite integers $n=am+1$ such that $m \ | \ \phi(n)$
11
Prove that the diophantine equation $(xz+1)(yz+1)=az^{k}+1$ has infinitely many solutions in positive integers.
6
Let $n=apq+1$. Prove that if $pq \ | \ \phi(n)$ then $n$ is prime.
5
A linear recurrence relation with no primes