# MWarsi

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# 14 Questions

 7 Do there exist any odd prime powers that can be represented as $n^4+4^n$? 4 The sum of the primes, p, that satisfy the condition that $8^p+15^p$ is a perfect square. 4 Group of order $p^2$ is abelian. [duplicate] 4 Integers that satisfy $a^3= b^2 + 4$ 3 An integer $n$, such that $nx = 0$, where $x$ belongs to the quotient group $\Bbb Q/\Bbb Z$

# 184 Reputation

 +5 Groups of order 2k have a normal subgroup of order k and odd permutations +5 Do there exist any odd prime powers that can be represented as $n^4+4^n$? +5 Constructing irreducible polynomials over the Polynomial Ring +10 Prove $n^2 > (n+1)$ for all integers $n \geq 2$

 1 Prove $n^2 > (n+1)$ for all integers $n \geq 2$ 1 Prove that none of $\{11, 111, 1111,\dots \}$ is the perfect square of an integer

# 13 Tags

 1 elementary-number-theory × 5 0 finite-groups × 4 1 induction 0 polynomials × 3 1 inequality 0 prime-numbers × 2 0 abstract-algebra × 7 0 ring-theory × 2 0 group-theory × 5 0 generating-functions

# 1 Account

 Mathematics 184 rep 7