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Search: id:A065706
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| A065706 |
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Prime octuplets: p1, p2, p3, ..., p8= p1 +26 are prime, a(n) = p1. |
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+0
5
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| 11, 17, 1277, 88793, 113147, 284723, 855713, 1146773, 2580647, 6560993, 15760091, 20737877, 25658441, 58208387, 69156533, 73373537, 74266253, 76170527, 93625991, 100658627, 134764997, 137943347, 165531257, 171958667
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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3 patterns for 8-tuplets: 11010011001011, 11011010011001 and v.v.
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LINKS
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Harry J. Smith, Table of n, a(n) for n=1,...,100
Eric Weisstein's World of Mathematics, Prime k-Tuples Conjecture,
T. Forbes, Prime k-tuplets,
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EXAMPLE
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a(3) = 1277, 1279, 1283, 1289, 1291, 1297, 1301, 1303 = 1277+26 are primes.
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PROGRAM
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(PARI) { n=0; p1=2; p8=19; for (m=1, 10^12, p1=nextprime(p1+1); p8=nextprime(p8+1); if (p8 - p1 == 26, write("b065706.txt", n++, " ", p1); if (n==100, return)) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Oct 26 2009]
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CROSSREFS
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11 = A065688(8), 26 = A008407(8), 8 = A023193(26+1), octets in A066082 are another (not minimal) constellation of 8 primes.
A065706 is the union of A022011, A022012 and A022013.
Sequence in context: A146446 A132092 A056705 this_sequence A078874 A162555 A059141
Adjacent sequences: A065703 A065704 A065705 this_sequence A065707 A065708 A065709
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KEYWORD
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nonn
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AUTHOR
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frank.ellermann(AT)t-online.de, Dec 05 2001
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