37489
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Numbers whose least quadratic nonresidue (A020649) is 19.at n=13A025027
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 15.at n=26A031603
- Primes with 19 as smallest positive primitive root.at n=31A061331
- Smallest prime p such that p# + Mersenne-prime(n) is prime.at n=26A098567
- Odd numbers n for which 19 is the smallest i (>= 1) with Jacobi symbol J(i,n) getting either a value 0 or -1.at n=20A112078
- The smaller member prime(i) of an emirp pair (prime(i),prime(j)), such that the digit sum of i equals the digit sum of j.at n=23A178613
- Primes that remain prime when a single digit 3 is inserted between any two consecutive digits or as the leading or trailing digit.at n=33A215419
- G.f. (4*x+3)/(2*(x+1))*(1+1/sqrt(-4*x^4-4*x^3+1)).at n=21A247169
- Primes of form n^2 + 625.at n=37A256777
- Primes p such that the maximal length of a nontrivial N(p)-Hensley sequence mod p is less than the value of A124882 for that prime, where N(p) is the least positive quadratic non-residue mod p.at n=17A261405
- Prime numbersat n=3967