A342364 The primes associated with A239727.

3, 17, 73, 191, 709, 1289, 3181, 5449, 7681, 17477, 33889, 87961, 437389, 2290573, 7160227, 10429681, 19196227, 24504049, 47577857, 70513979, 82605937, 156671243, 271785793, 328939937, 568119509, 1125978241, 1534657963, 1710749497, 4936728373, 7647104183

Offset

1,1

Links

Jianing Song, Table of n, a(n) for n = 1..40

Formula

a(n) = 2*A239727(n)*A239746(n) + 1.

Example

The smallest prime of the form 2*A239727(3)*k + 1 = 24*k+1 is 73, hence a(3) = 73.
The smallest prime of the form 2*A239727(4)*k + 1 = 38*k+1 is 191, hence a(4) = 191.

Prog

(PARI) A016014(n)=my(k); while(!isprime(2*n*k+++1), ); k
r=0; for(n=1, 1e8, t=A016014(n); if(t>r, r=t; print1(2*n*r+1", "))) \\ based on the program of A239727

Crossrefs

Cf. A239727, A239746, A016014, A070846, A342365.

Sequence in context: A265919 A317452 A128948 * A049181 A248917 A282400

Adjacent sequences: A342361 A342362 A342363 * A342365 A342366 A342367

Keyword

nonn

Author

Jianing Song, Mar 09 2021

Status

approved