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A057206
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Primes of form 6k+5 generated recursively: a(1)=5; a(n)=Min{p, prime; Mod[p,6]=5; p|6Q-1}, where Q is the product of all previous terms in the sequence.
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5, 29, 11, 1367, 13082189, 89, 59, 29819952677, 91736008068017, 17, 887050405736870123700827, 688273423680369013308306870159348033807942418302818522537
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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REFERENCES
| Dirichlet,P.G.L (1871):Vorlesungen uber Zahlentheorie. Braunschweig,Viewig,Supplement VI, 24 pages.
G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers. 3rd ed., Oxford Univ. Press, 1954, page 13.
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EXAMPLE
| a(3)=11 is the smallest prime divisor of the form 6k+5 of 6*(5.29)-1=6Q-1=11.79=869.
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CROSSREFS
| Cf. A000945, A000946, A005265, A005266, A051308-A051335, A057204-A057208, A007528.
Sequence in context: A083020 A033503 A181616 * A057713 A124987 A002584
Adjacent sequences: A057203 A057204 A057205 * A057207 A057208 A057209
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KEYWORD
| nonn
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AUTHOR
| Labos E. (labos(AT)ana.sote.hu), Oct 09 2000
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