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A269520
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Primes 8k + 7 preceding the maximal gaps in A269519.
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3
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7, 47, 271, 311, 503, 6367, 37223, 42487, 66463, 183527, 259271, 307919, 471007, 1070567, 1801223, 5903687, 6885743, 16936247, 22413319, 38820263, 63977327, 84164447, 147452759, 150334567, 239422639, 300412031, 387154951, 473153959, 539526191, 760400783, 788128039
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OFFSET
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1,1
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COMMENTS
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A269519 lists the corresponding record gap sizes. See more comments there.
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LINKS
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EXAMPLE
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The first two primes of the form 8k + 7 are 7 and 23, so a(1)=7. The next primes of this form are 31, 47; the gaps 31-23 and 47-31 are not records so nothing is added to the sequence. The next prime of this form is 71 and the gap 71-47=24 is a new record, so a(2)=47.
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PROG
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(PARI) re=0; s=7; forprime(p=23, 1e8, if(p%8!=7, next); g=p-s; if(g>re, re=g; print1(s", ")); s=p)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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