257371
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Smallest prime p == 3 mod 8 (A007520) 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=11A096638
- Nonsquare factors k > 0 such that k*x^2 - 1 produces a new minimum of its Hardy-Littlewood constant.at n=35A331948
- Prime numbersat n=22627