18191
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=9A000229
- Erroneous version of A045535.at n=8A001984
- 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=8A002223
- Numbers whose least quadratic nonresidue (A020649) is 29.at n=0A025029
- a(n) is the least odd prime p such that the maximum run length of consecutive quadratic residues modulo p is n.at n=27A025046
- Least negative pseudosquare modulo the first n odd primes.at n=8A045535
- Primes whose consecutive digits differ by 7 or 8.at n=14A048419
- Primes with 29 as smallest positive primitive root.at n=1A061733
- Smallest integer >= 2 that is not the sum of 2 positive integers whose prime factors are all <= p(n), the n-th prime.at n=9A062241
- Smallest prime p such that the maximum run length of consecutive positive quadratic residues modulo p is n.at n=27A097159
- Primes of the form 4*k-1 such that 8*k-1 and 16*k-1 are also primes.at n=28A101791
- Column 2 of A112070.at n=9A112084
- Number of partitions of {1,...,n} into blocks such that no block size is repeated more than 3 times.at n=9A115275
- a(n) is the least prime factor of (9 * 10^(6*n-4) - 11) / 7.at n=22A122691
- Primes p such that (p + nextprime + p) and also (p + previousprime + p) are primes.at n=37A125146
- Records in A000229.at n=9A133435
- Primes congruent to 19 mod 59.at n=38A142746
- Primes congruent to 13 mod 61.at n=37A142811
- Primes p such that continued fraction of (1 + sqrt(p))/2 has period 12 : primes in A146336.at n=18A146357
- Smallest prime p modulo which numbers 1,2,...,n are quadratic residues.at n=22A147969