57119
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Numbers whose least quadratic nonresidue (A020649) is 19.at n=22A025027
- Primes of form p^2 - 2, where p is prime.at n=23A049002
- a(n) contains the digit b-1 in all bases b from 2 to n.at n=15A051640
- Primes p of form q^k-2 where q is also a prime and k > 1.at n=33A053705
- Frobenius number of the numerical semigroup generated by consecutive squares.at n=13A069756
- Values of n such that len_x(n) = 0 in A090822.at n=15A091410
- Primes of the form p*q - p - q, where p and q are two successive primes.at n=15A096345
- Primes of the form p^2 + p - q, where p and q are consecutive primes.at n=13A099183
- Smallest number which does not use digit n-1 written in base n, but does use digit b-1 written in base b for any 1<b<n.at n=16A119354
- Subset of A037165 (p(n)*p(n+1)-p(n)-p(n+1)) for twin primes.at n=16A137367
- Primes p of the form a^2-b^2 and p*a-b is also prime (with b=prime and a=b+1).at n=31A173875
- Primes of the form p^q - q, where p and q are primes.at n=25A182474
- Fajtlowicz p-primes.at n=49A185955
- Smaller of Fermi-Dirac twin primes (A229064) which are not the smaller of twin primes (A001359).at n=29A229500
- Smallest prime p such that none of p+1, p+2, ..., p+n are squarefree.at n=6A257108
- Safe primes p such that p + 24 is also a safe prime.at n=33A274381
- Primes p such that there are exactly p solutions to y^2 + x*y + y == x^3 + x^2 - 10*x - 10 (mod p).at n=40A275777
- Balanced primes of order one ending in 9.at n=25A303095
- Primes p such that p^7 - 1 has 8 divisors.at n=36A341669
- Primes p such that p^11 - 1 has 8 divisors.at n=19A342067