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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A177748 First primes of record chains of consecutive primes such that all of them are evil (A027699).

Original entry on oeis.org

3, 257, 337, 4423, 4919, 30431, 66841, 514271, 14490383, 231234569, 325923613, 640085473, 1600993259, 7180164577, 8069913503, 86933359951, 284331217637, 1128352801153, 1209935587291, 2454267258251, 2945783287813
Offset: 1

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Author

Vladimir Shevelev, Dec 12 2010

Keywords

Comments

The first lengths of such chains of primes are: 2, 3, 5, 7, 8, 12, 16, ..., cf. A177801.

Examples

			257 is the first evil prime followed by two consecutive primes (263,269) which are also evil. Thus it is record length 3.

Crossrefs

Cf. A001969, A000069, A027697, A027699, A177798 (odious version), A177801.

Programs

  • PARI
    {l=0;sp=0;r=0; forprime( p=1, default(primelimit), if( norml2(binary(p))%2, l>r & !print1(sp", ") & r=l; l & l=0, l || sp=p; l++))} \\ M. F. Hasler, Dec 12 2010

Extensions

More terms from D. S. McNeil, Dec 12 2010
a(18)-a(21) from Amiram Eldar, Dec 09 2020
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