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A269239
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Primes 10k + 7 preceding the maximal gaps in A269238.
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3
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7, 17, 67, 397, 997, 4657, 10687, 28097, 39397, 61057, 130987, 250307, 425417, 2385157, 2717567, 3207857, 5247257, 6996377, 7402237, 23363167, 27614507, 46359967, 103494037, 118884947, 499144627, 544698487, 705338497, 760949557, 1625986457
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OFFSET
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1,1
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COMMENTS
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Subsequence of A030432.
A269238 lists the corresponding record gap sizes. See more comments there.
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LINKS
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Alexei Kourbatov, Table of n, a(n) for n = 1..37
Alexei Kourbatov and Marek Wolf, Predicting maximal gaps in sets of primes, arXiv preprint arXiv:1901.03785 [math.NT], 2019.
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EXAMPLE
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The first two primes of the form 10k + 7 are 7 and 17, so a(1)=7. The next prime of this form is 37 and the gap 37-17=20 is a new record, so a(2)=17.
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PROG
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(PARI) re=0; s=7; forprime(p=17, 1e8, if(p%10!=7, next); g=p-s; if(g>re, re=g; print1(s", ")); s=p)
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CROSSREFS
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Cf. A030432, A269238, A269240.
Sequence in context: A293464 A106010 A136192 * A118431 A051809 A254500
Adjacent sequences: A269236 A269237 A269238 * A269240 A269241 A269242
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KEYWORD
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nonn
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AUTHOR
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Alexei Kourbatov, Feb 20 2016
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STATUS
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approved
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