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A124985
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Primes of the form 8k+7 generated recursively. Initial prime is 7. General term is a(n)=Min {p is prime; p divides 16Q^2-2; Mod[p,8]=7}, where Q is the product of previous terms in the sequence.
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OFFSET
| 1,1
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COMMENTS
| 16Q^2-2 always has a prime divisor congruent to 7 modulo 8.
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REFERENCES
| D. M. Burton, Elementary Number Theory, McGraw-Hill, Sixth Edition (2007), p. 182.
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LINKS
| N. Hobson, Home page (listed in lieu of email address)
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EXAMPLE
| a(4) = 1902391 is the smallest prime divisor congruent to 7 mod
8 of 16Q^2-2 = 17834092882745102 = 2 * 97 * 1902391 * 48322513, where Q =
7 * 23 * 207367.
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CROSSREFS
| Cf. A000945, A007522, A057204-A057208, A051308-A051335, A124984-A124993, A125037-A125045.
Sequence in context: A009047 A129662 A012482 * A126612 A196113 A070410
Adjacent sequences: A124982 A124983 A124984 * A124986 A124987 A124988
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KEYWORD
| more,nonn
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AUTHOR
| Nick Hobson Nov 18 2006
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