31391
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=10A000229
- Erroneous version of A045535.at n=9A001984
- 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=9A002223
- a(n) is the least odd prime p such that the maximum run length of consecutive quadratic residues modulo p is n.at n=29A025046
- Least negative pseudosquare modulo the first n odd primes.at n=9A045535
- Primes with 31 as smallest positive primitive root.at n=2A061735
- 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=10A062241
- Primes such that least significant digit swapped with all other digits yields primes.at n=41A090934
- Smallest prime p such that the maximum run length of consecutive positive quadratic residues modulo p is n.at n=29A097159
- Column 2 of A112070.at n=10A112084
- Smallest prime p such that the maximum run length of consecutive quadratic nonresidues modulo p is n.at n=30A129201
- Records in A000229.at n=10A133435
- Prime sequence overlaying the central digits of prime numbers. If possible, the value is greater than the previous one. Zero if no such embedding is possible.at n=33A133781
- Lesser of Twin prime numbers of the form : i^2+j^3, as sum of square and cube, if Greater Twin prime number also of the form : i^2+j^3, as sum of square and cube.at n=8A143799
- Primes p such that continued fraction of (1 + sqrt(p))/2 has period 12 : primes in A146336.at n=22A146357
- Smallest prime p modulo which numbers 1,2,...,n are quadratic residues.at n=28A147969
- Smallest prime p modulo which numbers 1,2,...,n are quadratic residues.at n=29A147969
- Primes corresponding to the records in the sequence of smallest positive quadratic nonresidues (A053760).at n=10A147970
- Smallest prime p modulo which the first n primes are nonzero quadratic residues.at n=9A147972
- Primes p = prime(k) of form 13//r, s//13 or t//13//u and sod(p) = sod(k).at n=24A169645