19081
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Odd k for which k+2^m is composite for all m < k.at n=10A033919
- Primes p such that x^18 = 2 has no solution mod p, but x^6 = 2 has a solution mod p.at n=37A059664
- Primes with 17 as smallest positive primitive root.at n=20A061329
- Row sums of unsigned triangle A062137 (generalized a=3 Laguerre).at n=5A062147
- Lower triangular matrix, read by rows: T(i,j) = number of ways i seats can be occupied by any number k (0<=k<=j<=i) of persons.at n=32A086885
- Records in A134204.at n=31A133244
- Primes congruent to 24 mod 59.at n=33A142751
- Primes congruent to 49 mod 61.at n=30A142847
- Primes that are the difference between a fourth power and a positive cube.at n=29A161735
- Triangle read by rows: Sum_{j=0..k} binomial(n, j)*binomial(k, j)*j!.at n=41A176120
- List of 4-tuples of twin primes q, p, p+2 and q+2 such that 3*q<p<(p+2)<3*(q+2).at n=26A177335
- Prime numbers 3*n-2 such that n, 2*n-1 and 3*n-2 are prime.at n=29A180025
- There appear to be at least n primes in the range (x-2*sqrt(x), x] for all x >= a(n).at n=21A189027
- Primes congruent to 1 mod 53.at n=39A212377
- The 60-degree spoke (or ray) of a hexagonal spiral of Ulam.at n=40A244802
- Consider two consecutive primes {p,q} such that P=2p+q and Q=2q+p are both prime. The sequence gives primes Q.at n=40A248483
- Primes of the form p^3 - q^3 + r^3 where p, q, r are consecutive primes.at n=0A261748
- Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of e.g.f. exp(x/(1-x))/(1-x)^k.at n=50A293985
- Prime numbers congruent to 49 or 121 modulo 240 representable by x^2 + 960*y^2.at n=29A325090
- Primes p such that p mod A001414(p-1) = p mod A001414(p+1).at n=45A339180