51197
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- 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 41.at n=3A031629
- Smaller member of a prime pair (n, n+6) with a square sum.at n=5A086776
- Numerator of partial sums of a series for 3*(Pi-3).at n=6A130411
- Primes that are the sum of all composite numbers in-between prime numbers p(n) and p(n+2).at n=32A174521
- Primes in the chain of repeated application of x->2*x+3, starting at x=97.at n=6A176011
- G.f.: (1+x)^(2*g)*(1+x^3)^(3*g)/((1-x^2)*(1-x^4))-x^(2*g)*(1+x)^4/((1-x^2)*(1-x^4)) for g=3.at n=26A199629
- Primes of the form 2n^2 - 3.at n=35A201712
- Primes of the form 8n^2 - 3.at n=16A201856
- The first member of a twin prime pair whose sum equals the sums of k consecutive smaller pairs of twin primes, k=3.at n=33A226692
- Initial members of prime quadruples (n, n+2, n+144, n+146).at n=29A248523
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 313", based on the 5-celled von Neumann neighborhood.at n=41A271202
- Prime numbersat n=5238