A362005 a(n) is the least prime == 4 mod a(n-1), with a(1) = 3.

3, 7, 11, 37, 41, 127, 131, 397, 401, 3613, 3617, 18089, 488407, 9279737, 102077111, 2347773557, 377991542681, 35153213469337, 878830336733429, 4394151683667149, 276831556071030391, 6920788901775759779, 34603944508878798899, 173019722544393994499, 8131926959586517741457, 707477645484027043506763

Offset

1,1

Links

Robert Israel, Table of n, a(n) for n = 1..392

Example

a(4) = 37 because a(3) = 11 and 37 is the least prime == 4 (mod 11).

Maple

A[1]:= 3:
for i from 2 to 30 do
  for p from 4 by A[i-1] while not isprime(p) do od:
  A[i]:= p
od:
seq(A[j], j=1..30);

Crossrefs

Sequence in context: A119175 A038913 A141178 * A106966 A191027 A139599

Adjacent sequences: A362002 A362003 A362004 * A362006 A362007 A362008

Keyword

nonn

Author

Robert Israel, Apr 03 2023

Status

approved