# icanc

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# 21 Questions

 8 Compute the remainder when $67!$ is divided by $71$. 6 Prove that $1^3 + 2^3 + … + n^3 = (1+ 2 + … + n)^2$ [duplicate] 5 Show that the difference of two consecutive cubes is never divisible by $3$. 4 Prove that if $n$ is a composite and $p \gt \sqrt[3]n$, then $n/p$ is a prime. 3 Given one primitive root, how do you find all the others?

# 358 Reputation

 +10 Prove that $1^3 + 2^3 + … + n^3 = (1+ 2 + … + n)^2$ +5 Given one primitive root, how do you find all the others? +5 Given a distribution find the probability. +5 Prove that if $a$, $b$, and $n$ are positive integers such that $a^n|b^n$ then $a|b$

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# 19 Tags

 0 elementary-number-theory × 14 0 analysis × 2 0 proof-writing × 5 0 proof-strategy 0 prime-numbers × 4 0 convergence 0 modular-arithmetic × 2 0 complex-numbers 0 number-theory × 2 0 real-analysis

# 5 Accounts

 Stack Overflow 1,211 rep 1926 Mathematics 358 rep 213 Geographic Information Systems 118 rep 3 Server Fault 101 rep Super User 101 rep 1