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A124984
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Primes of the form 8k+3 generated recursively. Initial prime is 3. General term is a(n)=Min {p is prime; p divides 2+Q^2; Mod[p,8]=3}, where Q is the product of previous terms in the sequence.
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19
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OFFSET
| 1,1
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COMMENTS
| 2+Q^2 always has a prime divisor congruent to 3 modulo 8.
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REFERENCES
| D. M. Burton, Elementary Number Theory, McGraw-Hill, Sixth Edition (2007), p. 191.
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LINKS
| N. Hobson, Home page (listed in lieu of email address)
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EXAMPLE
| a(3) = 1091 is the smallest prime divisor congruent to 3 mod 8
of 2+Q^2 = 1091, where Q = 3 * 11.
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CROSSREFS
| Cf. A000945, A007520, A057204-A057208, A051308-A051335, A124984-A124993, A125037-A125045.
Sequence in context: A097423 A111130 A088579 * A034797 A101710 A088799
Adjacent sequences: A124981 A124982 A124983 * A124985 A124986 A124987
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KEYWORD
| more,nonn
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AUTHOR
| Nick Hobson Nov 18 2006
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