53089

Properties

Appears in sequences

• Numbers whose least quadratic nonresidue (A020649) is 19.at n=20A025027
• Let (p1,p2), (p3,p4) be pairs of twin primes with p1*p2=p3+p4-1; sequence gives values of p2.at n=32A047977
• Primes with 31 as smallest positive primitive root.at n=5A061735
• Odd numbers n for which 19 is the smallest i (>= 1) with Jacobi symbol J(i,n) getting either a value 0 or -1.at n=32A112078
• A proximate-prime polynomial sequence generated by 2*n^2 - 2*n + 53089.at n=0A155557
• Number of partitions of 12*n into parts < 5.at n=16A191593
• Number of partitions of 7n into exactly 4 parts.at n=28A256329
• Number of partitions of 3*n^3 into parts that are at most n.at n=4A258303
• Primes p such that the maximal length of a Buchi sequence in Z/pZ is less than the value of A124882 for that prime.at n=6A261404
• Primes p such that the maximal length of a nontrivial N(p)-Hensley sequence mod p is less than the value of A124882 for that prime, where N(p) is the least positive quadratic non-residue mod p.at n=25A261405
• G.f.: Sum_{n=-oo..+oo} x^n * (1 - x^n)^(3*n).at n=49A268298
• Numerators E(n) in the closed form of the integral J(2n+1) = Integral_{x=0..Pi/2} x * cos(x)^(2n+1) dx = binomial(2n+1,n)/2^(2n+2) * Pi - E(n)/F(n).at n=4A389357
• Prime numbersat n=5416