A178083 Numbers k for which 10k+1, 10k+3, 10k+7, 10k+9, 10k+13 and 10k+19 are primes.

1, 148, 16570, 32614, 66109, 102250, 106870, 124636, 146140, 191773, 305887, 415591, 421828, 552700, 834415, 1013440, 1176505, 1190050, 1306432, 1572082, 1576009, 1850437, 1873684, 1912954, 1921144, 2004997, 2103613, 2376340

Offset

1,2

Comments

Subsequence of A178084 and of A007811.

Links

Table of n, a(n) for n=1..28.

Example

Associated prime 6-plets are:
11, 13, 17, 19, 23, 29;   # from k=1
1481, 1483, 1487, 1489, 1493, 1499; # from k=148
165701, 165703, 165707, 165709, 165713, 165719; # from k=16570
326141, 326143, 326147, 326149, 326153, 326159; # from k=32614

Mathematica

Flatten[Table[If[PrimeQ[10* n + 1] && PrimeQ[10*n + 3] && PrimeQ[10*n + 7] && PrimeQ[10*n + 9] && PrimeQ[10*(n + 1) + 3] && PrimeQ[10*(n + 1) + 9], n, {}], {n, 0, 200000}]]

Prog

(Magma) [n: n in [0..1000]| IsPrime(10*n+1) and IsPrime(10*n+3) and IsPrime(10*n+7) and IsPrime(10*n+9) and IsPrime(10*n+13) and IsPrime(10*n+19)] // Vincenzo Librandi, Nov 30 2010

Crossrefs

Cf. A007811.

Sequence in context: A252770 A035822 A221349 * A128919 A223740 A223723

Adjacent sequences: A178080 A178081 A178082 * A178084 A178085 A178086

Keyword

nonn

Author

Roger L. Bagula, May 19 2010

Extensions

More terms from Zak Seidov, D. S. McNeil and Vincenzo Librandi, May 22 2010

Status

approved