222643

Properties

Appears in sequences

• Let p be the n-th odd prime. Then a(n) is the least prime congruent to 3 modulo 8 such that Legendre(-a(n), q) = -1 for all odd primes q <= p.at n=11A001986
• Largest prime p==3 (mod 8) such that Q(sqrt(-p)) has class number 2n+1.at n=16A002149
• Largest squarefree number k such that Q(sqrt(-k)) has class number n.at n=32A038552
• Records in A001986.at n=4A094845
• Greatest number, not divisible by 4, having exactly n partitions into three squares.at n=16A095811
• Greatest number, not divisible by 4, having exactly n partitions into three positive squares.at n=16A095812
• Greatest number, not divisible by 4, having exactly n partitions into three distinct positive squares.at n=15A096021
• Primes p such that 2, 3, 5, 7, ..., 37 are all quadratic nonresidues modulo p.at n=4A306501
• Largest number k such that C(-k) is the cyclic group of order n, where C(D) is the class group of the quadratic field with discriminant D; or 0 if no such k exists.at n=32A357600
• Prime numbersat n=19828