1083289

Properties

Appears in sequences

• 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=11A002189
• 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=11A002224
• 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=11A096637
• Odd primes which set records for smallest absolute value of a quadratic nonresidue.at n=13A102295
• Primes at which occur records of A205531 and A205535.at n=12A205532
• Smallest nonsquare congruent to a square (mod k^2) for all k = 1..n.at n=36A260709
• Smallest nonsquare congruent to a square (mod k^2) for all k = 1..n.at n=37A260709
• Smallest nonsquare congruent to a square (mod k^2) for all k = 1..n.at n=38A260709
• Smallest nonsquare congruent to a square (mod k^2) for all k = 1..n.at n=39A260709
• Least prime numbers, in ascending order, such that each of them can be written, in a unique way, in the form x^2 + h*y^2, where x, y are natural numbers, while h takes all the values of the sequence A000926 (idoneal numbers).at n=0A340132
• Prime numbersat n=84512