18913
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes of the form m^2 + 3m + 9, where m can be positive or negative.at n=41A005471
- Primes which remain prime after one and after two applications of the rotate-and-add operation of A086002.at n=13A086003
- Primes which remain prime after one and after two and after three applications of the rotate-and-add operation of A086002.at n=3A086004
- Integer part of Gauss's Arithmetic-Geometric Mean M(1,n^5).at n=10A127761
- Prime quadruples: 2nd term.at n=17A136720
- Primes congruent to 45 mod 53.at n=40A142575
- Primes congruent to 33 mod 59.at n=37A142760
- Primes congruent to 3 mod 61.at n=37A142801
- Number of binary strings of length n with no substrings equal to 0001 0011 or 1110.at n=17A164461
- Primes p such that A008472(p-1) = A008472(p+1), where A008472 = sum of distinct primes dividing n.at n=1A203182
- Primes that are reached by an ever increasing aliquot sequence.at n=15A234842
- Primes of the form 2*n^2+30*n+13.at n=12A243889
- Smallest prime modulus p such that there exists a multiplicative-coset Ramsey algebra in n colors over Z/pZ, or 0 if no such prime exists.at n=47A263308
- Number of ways to choose a strict partition of each part of a strict partition of n.at n=24A279785
- Primes p = x^2 + y^2 such that x - y is a cube greater than one.at n=23A282405
- Primes of the form prime(n+2)*prime(n+1) - prime(n) +- 1.at n=22A294625
- Primes in A301916 but not in A045318.at n=16A320481
- 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=41A340037
- Primes p such that A001414(p+1) = A001414(p-1) - 1.at n=9A342823
- Least prime p such that p^n + 6 is the product of n distinct primes.at n=9A363585