Tejen Shrestha
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388
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### Questions (21)

 8 Compute the remainder when $67!$ is divided by $71$. 8 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 $3$. 5 Prove that if $n$ is a composite and $p \gt \sqrt[3]n$, then $n/p$ is a prime. 4 Given one primitive root, how do you find all the others?

### Reputation (388)

 +10 Prove that $1^3 + 2^3 + … + n^3 = (1+ 2 + … + n)^2$ +5 Question regarding Legendre symbol and Quadratic reciprocity. +5 Given one primitive root, how do you find all the others? +5 Prove that if $n$ is a composite and $p \gt \sqrt[3]n$, then $n/p$ is a prime.

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### Tags (18)

 0 elementary-number-theory × 14 0 complex-numbers 0 proof-writing × 5 0 convergence 0 prime-numbers × 4 0 convex-analysis 0 modular-arithmetic × 2 0 cryptography 0 analysis × 2 0 divergent-series

### Accounts (5)

 Stack Overflow 1,660 rep 21736 Mathematics 388 rep 1318 Geographic Information Systems 118 rep 5 Super User 101 rep 2 Server Fault 101 rep 2