J. Linne

### Questions (134)

 9 Quintic reciprocity conjecture 8 What is the probability there is no prime between $n$ and $n+\ln(n)$? 8 Solving $x^2+x+1=7^n$ 8 What are the solutions to $a^2+ab+b^2$ $=$ $3^n$? 7 Set of primes $p$ which $x^4-x^3-2x^2-2x-1$ completely factors in finite field of order $p$

### Reputation (1,009)

 +10 number field:How can i prove that ${\Bbb Q}[\sqrt{-3}]$ is a cyclotomic field? +10 primes splitting completely in cyclic extensions +15 First few smallest Carmichael numbers congruent to $11 \pmod {12}$ +5 Any generalization to Euclid's theorem?

 5 Find primitive root mod 17 4 How were the factors of $\frac{521^{521}-1}{520}$ found? 3 Factoring polynomials with a 2nd degree coefficient greater than $1$ 2 infinitude of primes that are $11 \bmod 12$ 2 Is it true that if $n$ is a Carmichael number then $n-1$ cannot be square free?

### Tags (97)

 13 elementary-number-theory × 102 4 quadratics × 4 9 number-theory × 61 3 divisibility × 9 8 prime-numbers × 61 3 factoring × 6 4 polynomials × 26 3 congruences × 3 4 prime-factorization × 6 2 modular-arithmetic × 19

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