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A178083 Numbers k for which 10k+1, 10k+3, 10k+7, 10k+9, 10k+13 and 10k+19 are primes. 0
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified June 14 04:54 EDT 2021. Contains 345018 sequences. (Running on oeis4.)