37123
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Largest prime p==3 (mod 8) such that Q(sqrt(-p)) has class number 2n+1.at n=8A002149
- Largest squarefree number k such that Q(sqrt(-k)) has class number n.at n=16A038552
- Discriminants of imaginary quadratic fields with class number 17 (negated).at n=44A046014
- Prime powers such that 1 + lcm(1,2,...,p^w) is prime.at n=22A051453
- Primes p such that lcm(1,2,3,...,p-2,p-1,p) + 1 is prime.at n=17A154525
- Larger of pairs of emirps (A006567) whose difference with the (smaller) reversal is a triangular number (A000217).at n=31A217286
- Primes p such that q = 2*p^3-1 and 2*p*q^2-1 are both prime.at n=11A224614
- Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 774", based on the 5-celled von Neumann neighborhood.at n=37A290238
- The first of two consecutive primes the sum of which is equal to the sum of two consecutive pentagonal numbers.at n=3A298464
- a(n) is the least prime p = prime(k) > prime(n) such that A306530(k) = prime(n).at n=11A307965
- Largest number k such that C(-k) is the cyclic group of order n, where C(D) is the class group of the quadratic field with discriminant D; or 0 if no such k exists.at n=16A357600
- Prime numbersat n=3935