A102331 Initial members of quintuplets (p, p+4, p+12, p+16, p+24) of consecutive primes with the corresponding difference pattern:{4,8,4,8}.

13147, 14407, 114757, 132607, 231547, 353317, 459607, 476587, 568987, 601747, 652357, 724627, 794137, 861547, 904777, 1010407, 1094437, 1140847, 1147567, 1170007, 1270417, 1424557, 1441327, 1477027, 1604497, 1646287, 1673377

Offset

1,1

Comments

Generalization of A022007. These primes are congruent to 7 modulo 10, so the realization of longer prime-difference pattern={4,8,4,8,4} is not already possible because the sum=4+8+4+8+4=28. Consequently, 10k+7+28=10m+5 cannot be a prime. Thus analogous generalization of A022008 is possible only with restrictions. See also Comment in A102335.

Links

Table of n, a(n) for n=1..27.

Example

n=13147 prime is followed by {13151, 13159, 13163, 13171} primes. Observe that these patterns start and end with primes of 10k+7 and 10m+1 form respectively.

Crossrefs

Cf. A001223, A022007, A022008, A052162-A052168.

Sequence in context: A221156 A068760 A252156 * A064252 A252590 A252587

Adjacent sequences: A102328 A102329 A102330 * A102332 A102333 A102334

Keyword

nonn

Author

Labos Elemer, Jan 07 2005

Status

approved