3818929

Properties

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=14A000229
• 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=13A002189
• 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=12A002224
• 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=13A002224
• 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=13A096637
• Odd primes which set records for smallest absolute value of a quadratic nonresidue.at n=14A102295
• Primes with 53 as smallest positive primitive root.at n=15A114669
• Records in A000229.at n=13A133435
• Primes corresponding to the records in the sequence of smallest positive quadratic nonresidues (A053760).at n=12A147970
• Smallest prime p modulo which the first n primes are nonzero quadratic residues.at n=13A147972
• Primes at which occur records of A205531 and A205535.at n=13A205532
• 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=1A340132
• Prime numbersat n=271259