Mike Bennett
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 11 Integer solutions of $x^3+y^3=z^2$ 6 Find $x$ such that $12+13^x$ be a perfect square 5 Is there any infinite set of primes for which membership can be decided quickly? 5 Integer solutions of $n^3 = p^2 - p - 1$ 4 How find this equation $n!+(n+1)!+\cdots+(n+m)!=a^b$ all solutions

### Reputation (1,606)

 +30 Prove that for some $x, y \in \mathbb{Z}^+$, if $(x-1)(y-1), xy, (x+1)(y+1)$ are all squares then $x = y$. +45 Finding all solutions for $3^c=2^a+2^b+1$ +10 How find this equation $n!+(n+1)!+\cdots+(n+m)!=a^b$ all solutions +15 $2^n + 3^n = x^p$ has no solutions over the natural numbers

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### Tags (16)

 84 number-theory × 29 5 algorithms 39 diophantine-equations × 15 5 computational-complexity 20 elementary-number-theory × 8 3 continued-fractions 12 prime-numbers × 4 3 quartic-equations 6 diophantine-approximation × 2 3 reference-request

### Accounts (2)

 Mathematics 1,606 rep 46 MathOverflow 1,501 rep 99