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A358322
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Interlopers in sexy prime quadruples.
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1
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7, 13, 19, 43, 71, 617, 643, 1093, 1483, 1489, 1609, 1871, 1877, 2381, 2687, 3919, 4003, 5441, 5651, 5657, 9463, 11831, 12109, 14629, 20357, 21491, 24107, 26683, 26713, 32059, 37571, 41957, 42407, 44533, 50591, 55217, 65717, 68899, 70001, 79813, 87557, 88811, 88817, 103993, 110923, 112573, 122029
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OFFSET
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1,1
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COMMENTS
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Primes q !== p (mod 6) such that p < q < p+18, where (p, p+6, p+12, p+18) is a "sexy" prime quadruple, i.e., p is in A023271.
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LINKS
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EXAMPLE
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a(5) = 71 is a term because it is a prime !== 61 (mod 6) with 61 < 71 < 79, where (61, 67, 73, 79) is a sexy prime quadruple.
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MAPLE
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Res:= 7: count:= 1:
for p from 11 by 10 while count < 100 do
if andmap(isprime, [p, p+6, p+12, p+18]) then
R:= select(isprime, [p+2, p+8, p+10, p+16]);
count:= count + nops(R);
Res:= Res, op(R);
fi
od:
Res;
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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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