Revision History for A269521
(Underlined text is an addition;
strikethrough text is a deletion.)
Showing entries 1-10
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#11 by Bruno Berselli at Fri Jan 18 04:45:07 EST 2019
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#10 by Michel Marcus at Fri Jan 18 01:42:16 EST 2019
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#9 by Alexei Kourbatov at Thu Jan 17 19:50:36 EST 2019
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#8 by Alexei Kourbatov at Thu Jan 17 19:50:33 EST 2019
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| LINKS
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Alexei Kourbatov and Marek Wolf, <a href="https://arxiv.org/abs/1901.03785">Predicting maximal gaps in sets of primes</a>, arXiv preprint arXiv:1901.03785 [math.NT], 2019.
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| STATUS
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approved
editing
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#7 by N. J. A. Sloane at Tue Mar 01 19:09:44 EST 2016
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#6 by Alexei Kourbatov at Sun Feb 28 17:45:21 EST 2016
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#5 by Alexei Kourbatov at Sun Feb 28 17:44:42 EST 2016
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| DATA
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23, 71, 311, 359, 599, 6551, 37423, 42703, 66751, 183823, 259583, 308263, 471391, 1071023, 1801727, 5904247, 6886367, 16936991, 22414079, 38821039, 63978127, 84165271, 147453599, 150335431, 239423519, 300412927, 387155903, 473154943, 539527199, 760401839, 788129191, 1203518191, 3024731231, 7042990151, 8540579407, 33685595327, 36592371631, 40206725831, 66907164679
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| LINKS
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Alexei Kourbatov, <a href="/A269521/b269521.txt">Table of n, a(n) for n = 1..39</a>
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#4 by Alexei Kourbatov at Sun Feb 28 17:17:39 EST 2016
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| COMMENTS
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Subsequence of A007522.
A269519 lists the corresponding record gap sizes. See more comments there.
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#3 by Alexei Kourbatov at Sun Feb 28 17:16:46 EST 2016
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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)=23. 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)=71.
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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(p", ")); s=p)
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| CROSSREFS
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Cf. A007522, A269519, A269520.
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#2 by Alexei Kourbatov at Sun Feb 28 17:08:36 EST 2016
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| NAME
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allocatedPrimes 8k + 7 at the end of the maximal forgaps Alexeiin KourbatovA269519.
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| DATA
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23, 71, 311, 359, 599, 6551, 37423, 42703, 66751, 183823, 259583, 308263, 471391, 1071023, 1801727, 5904247, 6886367, 16936991, 22414079, 38821039, 63978127, 84165271, 147453599, 150335431, 239423519, 300412927, 387155903, 473154943, 539527199, 760401839, 788129191, 1203518191, 3024731231, 7042990151, 8540579407, 33685595327, 36592371631, 40206725831, 66907164679
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| OFFSET
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1,1
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| KEYWORD
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allocated
nonn
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| AUTHOR
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Alexei Kourbatov, Feb 28 2016
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| STATUS
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approved
editing
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