Esteban Crespi
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 May5 answered Finding the Norm of an element in a field extension Apr23 answered Showing that $|f^{(n)}| \le n!n^n$ and then making this result sharper Apr6 revised Comparing sums of surds without any aids added 53 characters in body Apr5 answered Comparing sums of surds without any aids Mar31 revised Algorithm to find representation of an element of field extension $\mathbb{Q}(q)$ in the form $\sum a_i q^i$ added 125 characters in body Mar31 answered Algorithm to find representation of an element of field extension $\mathbb{Q}(q)$ in the form $\sum a_i q^i$ Mar31 comment quadratic residues and prime divisor As far as I know, we don't know if there are infinitely many integers $n$ such that $n^2+1$ prime, it is an open problem. Mar17 comment Properties of a certain integer sequence Carrying the computation a little further gives the sequence: 1, 1, 2, 2, 3, 5, 6, 8, 11, 17, 25, 33, 41, 52, 80, 139, 204, 245, 289, 410, 692, 1159, 1477, 2010, 2769, 4247, 6128, 7709, 9817 Mar16 revised Partial fraction decomposition of p'/p Removed the c Mar16 answered Partial fraction decomposition of p'/p Mar15 comment Reducing simultaneously a pair of fractions $\frac{a^2}{b},\frac{ a^3}{c}$ using only gcds You are right, there is no known algorithm even to know if an integer is square-free which does not rely in factorization. Thanks, I hadn't think in your example. Mar15 answered Reciprocity problem in I&R “A Classical Introduction in Modern Number Theory” Mar14 revised Reducing simultaneously a pair of fractions $\frac{a^2}{b},\frac{ a^3}{c}$ using only gcds EDIT: Changed to make more clear the question. Mar14 comment Reducing simultaneously a pair of fractions $\frac{a^2}{b},\frac{ a^3}{c}$ using only gcds You would need either to factor $g$ in order to find $d$ or to iterate over the integers up to $\sqrt[6]g$. However I'm changing the question to allow root extraction and avoid iteration. What I'm looking for is a fast way to compute it. Mar14 revised Reducing simultaneously a pair of fractions $\frac{a^2}{b},\frac{ a^3}{c}$ using only gcds Sorry the method I give is not correct Mar14 asked Reducing simultaneously a pair of fractions $\frac{a^2}{b},\frac{ a^3}{c}$ using only gcds Mar1 comment Closed form for $_2F_1\left(\frac12,\frac23;\,\frac32;\,\frac{8\,\sqrt{11}\,i-5}{27}\right)$ Could you give a reference to understand how the value $g_3 = \eta^6/16$ is found? Thanks. Feb13 answered $17$ is a quadratic residue for all primes $p$ such that $p \equiv \pm 3 \mod{8}$? Dec22 awarded Necromancer Dec22 revised Generalizing Ramanujan's proof of Bertrand's Postulate: Can Ramanujan's approach be used to show a prime between $4x$ and $5x$ for $x \ge 3$ minor edit