175244281
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- a(n) is the least number m such that the n-th prime is the least quadratic nonresidue modulo m.at n=19A000229
- Pseudo-squares: a(n) = the least nonsquare positive integer which is 1 mod 8 and is a (nonzero) quadratic residue modulo the first n odd primes.at n=18A002189
- Smallest prime p of form p = 8k+1 such that first n primes (p_1=2, ..., p_n) are quadratic residues mod p.at n=18A002224
- Smallest prime p == 1 mod 8 (A007519) and p > prime(n+2) such that p is a quadratic residue mod the first n odd primes 3, 5, 7, 11, ..., prime(n+1), and p is a quadratic non-residue mod prime(n+2).at n=18A096637
- Odd primes which set records for smallest absolute value of a quadratic nonresidue.at n=18A102295
- Records in A000229.at n=18A133435
- a(n) is the least number such that the n-th prime is the least coprime quadratic nonresidue modulo a(n).at n=19A306493
- Prime numbersat n=9779668