31627
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Related to Gilbreath conjecture.at n=37A001549
- Discriminants of imaginary quadratic fields with class number 17 (negated).at n=41A046014
- Expansion of Product_{m>=1} (1 + m^2*q^m).at n=13A092484
- Prime numbers that are 2 less than a prime-indexed odd triangular number or 1 more than a prime-indexed even triangular number.at n=31A096333
- Smallest prime p such that Sum_{primes q <= p} 1/q >= n/5.at n=12A103598
- The next prime greater than the square root of 10^n.at n=9A131581
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/7.at n=30A152307
- Primes of the form x^2 + 7*y^2, where x and y=x+1 are consecutive natural numbers.at n=30A176616
- E.g.f.: Sum_{n>=0} x^n/n! * Product_{k=1..n} ( LambertW(-k*x)/(-k*x) )^(1/k).at n=6A230320
- Primes of the form triangular(p) + 1, where p is a prime.at n=15A231988
- Primes equal to a hexagonal number plus 1.at n=31A285790
- Array T(n, m) read by ascending antidiagonals: numerators of shifted Fubini numbers F(n, m) where m >= 0.at n=49A338875
- Largest cost for a permutation problem.at n=45A367185
- Square array read by antidiagonals upwards: T(n,k) is the smallest k-digit prime p such that nextprime(p) is a substring of p^n; or -1 if no such prime exists, n>1, k>0.at n=32A383607
- Prime numbersat n=3402