A174393 Numbers k such that 6*prime(k) -+ {1,5} are all prime.

1, 2, 4, 7, 106, 388, 930, 2999, 3127, 3974, 4982, 5154, 6350, 6612, 6750, 7661, 7693, 8783, 10156, 10465, 11989, 13101, 13266, 15349, 15351, 17476, 18087, 19305, 20670, 21434, 22671, 23134, 23613, 23667, 24493, 24509, 25780, 27474, 28764, 30457

Offset

1,2

Links

Table of n, a(n) for n=1..40.

Example

a(1)=1 because
  prime(1)*6 - 5 =  7,
  prime(1)*6 - 1 = 11,
  prime(1)*6 + 1 = 13, and
  prime(1)*6 + 5 = 17
are all prime.

Maple

isA174393 := proc(n) local p ; p := ithprime(n) ; isprime(p*6-1) and isprime(p*6-5) and isprime(p*6+1) and isprime(p*6+5); end proc: for n from 1 to 40000 do if isA174393(n) then printf("%d, ", n) ; end if; end do: # R. J. Mathar, Mar 29 2010

Crossrefs

Sequence in context: A302938 A076719 A103009 * A153662 A222011 A063864

Adjacent sequences: A174390 A174391 A174392 * A174394 A174395 A174396

Keyword

nonn

Author

Juri-Stepan Gerasimov, Mar 18 2010

Extensions

Corrected and extended by Charles R Greathouse IV, Mar 18 2010

Status

approved