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Primes of the form 12k+7 generated recursively. Initial prime is 7. General term is a(n)=Min {p is prime; p divides 3+4Q^2; Mod[p,12]=7}, where Q is the product of previous terms in the sequence.

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7, 199, 7761799, 487, 67, 103, 1482549740515442455520791, 31, 139, 787, 19, 39266047, 1955959, 50650885759, 367, 185767, 62168707 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`All prime divisors of 3+4Q^2 are congruent to 1 modulo 6.` `At least one prime divisor of 3+4Q^2 is congruent to 3 modulo 4 and hence to 7 modulo 12.` `The first six terms are the same as those of A057204.`
	LINKS	`N. Hobson, Home page (listed in lieu of email address)`
	EXAMPLE	`a(3) = 1482549740515442455520791 is the smallest prime divisor` `congruent to 7 mod 12 of 3+4Q^2 = 5281642303363312989311974746340327 =` `3562539697 * 1482549740515442455520791, where Q = 7 * 199 * 7761799 * 487` `* 67 * 103.`
	CROSSREFS	`Cf. A000945, A068229, A057204-A057208, A051308-A051335, A124984-A124993, A125037-A125045.` `Sequence in context: A068233 A154936 A057204 this_sequence A128680 A157775 A065819` `Adjacent sequences: A124985 A124986 A124987 this_sequence A124989 A124990 A124991`
	KEYWORD	`more,nonn`
	AUTHOR	`Nick Hobson Nov 18 2006`

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.

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