A128312 List of triples of primes with common difference 12.

199, 211, 223, 1499, 1511, 1523, 4397, 4409, 4421, 4679, 4691, 4703, 7829, 7841, 7853, 9859, 9871, 9883, 11287, 11299, 11311, 11399, 11411, 11423, 11719, 11731, 11743, 12829, 12841, 12853, 15149, 15161, 15173, 16607, 16619, 16631, 17419

Offset

1,1

Links

Table of n, a(n) for n=1..37.

Example

199, 211, 223
1499, 1511, 1523
4397, 4409, 4421
4679, 4691, 4703
7829, 7841, 7853
9859, 9871, 9883
11287, 11299, 11311
11399, 11411, 11423
etc...

Maple

for i from 1 by 1 to 4000 do > if ithprime(i+1) = ithprime(i) +12 and ithprime(i+2) = ithprime(i) + 24 then print(ithprime(i), ithprime(i+1), ithprime(i+2)); > fi; > od; #

Mathematica

s={}; Do[p=Prime[n]; If[NextPrime[p]==p+12&&NextPrime[p, 2]==p+24, AppendTo[s, {p, p+12, p+24}]], {n, 2100}]; Flatten[s] (* James C. McMahon, Jan 07 2025 *)

Crossrefs

Cf. A052188 (1st column).

Sequence in context: A006243 A171391 A151738 * A106628 A109561 A031930

Adjacent sequences: A128309 A128310 A128311 * A128313 A128314 A128315

Keyword

nonn,tabf,changed

Author

Zerinvary Lajos, May 04 2007

Status

approved