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
Keywords
Examples
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
Crossrefs
Cf. A007811.
Programs
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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
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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}]]
Comments