A136142 Four consecutive primes with two sets of twin primes.

5, 7, 11, 13, 11, 13, 17, 19, 101, 103, 107, 109, 137, 139, 149, 151, 179, 181, 191, 193, 191, 193, 197, 199, 419, 421, 431, 433, 809, 811, 821, 823, 821, 823, 827, 829, 1019, 1021, 1031, 1033, 1049, 1051, 1061, 1063, 1481, 1483, 1487, 1489, 1871, 1873

Offset

1,1

Comments

Some of these are prime quadruples, but some are not. Call them unrestricted prime quadruples.

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Eric Weisstein's World of Mathematics, Prime Quadruplet

Mathematica

Select[Partition[Prime[Range[300]], 4, 1], #[[4]]-#[[3]]==#[[2]]-#[[1]]==2&]//Flatten (* Harvey P. Dale, Feb 10 2025 *)

Prog

(PARI) {forprime(p1=0, 3000, p2=p1+2; if(!isprime(p2), next; ); forprime(p3=p2+1, 6000, p4=p3+2; if(isprime(p4), print1(p1, ", ", p2, ", ", p3, ", ", p4, ", ")); break; ))}

Crossrefs

Cf. A007530.

Sequence in context: A122278 A124109 A095798 * A136162 A054500 A082684

Adjacent sequences: A136139 A136140 A136141 * A136143 A136144 A136145

Keyword

nonn

Author

Harry J. Smith, Dec 16 2007

Status

approved