A351636 Primes p such that if q and r are the next two primes, 6*q-r, 6*q-p, 6*q+p and 6*q+r are all prime.

5, 7, 79, 347, 449, 4703, 8923, 10567, 12041, 14221, 18223, 27281, 29959, 30677, 31153, 41023, 42139, 47737, 48757, 53093, 55441, 61603, 72701, 73999, 75269, 79907, 90833, 98347, 100019, 108571, 117563, 132589, 132623, 134077, 136067, 157721, 161561, 185071, 185567, 189437, 241601, 246661, 249311

Offset

1,1

Links

Robert Israel, Table of n, a(n) for n = 1..10000

Example

a(3) = 79 is a term because the next two primes are 83 and 89, and 6*83-89 = 409, 6*83-79 = 419, 6*83+79 = 577 and 6*83+89 = 587 are all prime.

Maple

R:=NULL: count:= 0:
q:= 2: r:= 3:
while count < 100 do
  p:= q; q:= r; r:= nextprime(r);
  if andmap(isprime, [6*q+p, 6*q-p, 6*q+r, 6*q-r]) then
    count:= count+1; R:= R, p;
  fi
od:
R;

Crossrefs

Sequence in context: A141746 A067198 A340468 * A062583 A196139 A165784

Adjacent sequences: A351633 A351634 A351635 * A351637 A351638 A351639

Keyword

nonn

Author

J. M. Bergot and Robert Israel, Feb 15 2022

Status

approved