19301
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Numbers k such that 45*2^k+1 is prime.at n=23A032372
- Class numbers of fields in A085715.at n=24A085716
- Primes congruent to 8 mod 59.at n=37A142735
- Primes of the form 100p + 1, where p is prime.at n=11A180469
- a(n) = A186882(n+1) - A186882(n).at n=18A186883
- Number of arrays of -5..5 integers x(1..n) with every x(i) in a subsequence of length 1, 2 or 3 with sum zero.at n=5A193699
- T(n,k)=Number of arrays of -k..k integers x(1..n) with every x(i) being in a subsequence of length 1, 2 or 3 with sum zero.at n=50A193702
- Number of partitions p of n such that the number of numbers having multiplicity 1 in p is a part of p.at n=39A241413
- a(1) = 5; a(n) for n > 1 is the smallest prime > a(n-1) that differs from a(n-1) by a square.at n=46A246760
- Primes of form n^2 + 2401.at n=15A256835
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 157", based on the 5-celled von Neumann neighborhood.at n=30A270331
- Primes p such that p+2^3, p+2^5 and p+2^7 are all primes.at n=30A275475
- Numerator of 120*Stirling_2(n,5)/n!.at n=10A324005
- a(1) = 1; for n > 1, a(n) is the smallest prime divisor of the number formed by the concatenation of a(1) to a(n-1) that has not previously appeared in the sequence.at n=24A330291
- Primes p such that (p^2+q^2)/2 and (q^2 + 2*p*q - p^2)/2 are prime, where q is the next prime after p.at n=43A340037
- Primes p such that p+1 is a triprime and 2*p+1 is prime.at n=32A386295
- Prime numbersat n=2188