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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. 1
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified November 29 03:18 EST 2022. Contains 358422 sequences. (Running on oeis4.)