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A125039
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Primes of the form 8k+1 generated recursively. Initial prime is 17. General term is a(n)=Min {p is prime; p divides (2Q)^4 + 1}, where Q is the product of previous terms in the sequence.
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1
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OFFSET
| 1,1
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COMMENTS
| All prime divisors of (2Q)^4 + 1 are congruent to 1 modulo 8.
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REFERENCES
| G. A. Jones and J. M. Jones, Elementary Number Theory, Springer-Verlag, NY, (1998), p. 271.
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LINKS
| N. Hobson, Home page (listed in lieu of email address)
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EXAMPLE
| a(3) = 4261668267710686591310687815697 is the smallest prime
divisor of (2Q)^4 + 1 = 4261668267710686591310687815697, where Q = 17 * 1336337.
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CROSSREFS
| Cf. A000945, A007519, A057204-A057208, A051308-A051335, A124984-A124993, A125037-A125045.
Sequence in context: A177816 A130653 * A125041 A013806 A147671 A104536
Adjacent sequences: A125036 A125037 A125038 * A125040 A125041 A125042
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KEYWORD
| more,nonn
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AUTHOR
| Nick Hobson Nov 18 2006
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