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A125038
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Primes of the form 34k+1 generated recursively. Initial prime is 103. General term is a(n)=Min {p is prime; p divides (R^17 - 1)/(R - 1); Mod[p,17]=1}, where Q is the product of previous terms in the sequence and R = 17Q.
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103, 307, 9929, 187095201191, 76943, 37061, 137, 5615258941637, 302125531, 18089, 613, 409, 9419, 193189
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| All prime divisors of (R^17 - 1)/(R - 1) different from 17 are congruent to 1 modulo 34.
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REFERENCES
| M. Ram Murty, Problems in Analytic Number Theory, Springer-Verlag, NY, (2001), pp. 208-209.
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LINKS
| N. Hobson, Home page (listed in lieu of email address)
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EXAMPLE
| a(2) = 307 is the smallest prime divisor congruent to 1 mod 34
of (R^17 - 1)/(R - 1) =
7813154903878257490980895975711871949096304270238017 = 307 *
326669135226428664734261 * 77907623430368753779713071, where Q = 103 and
R = 17Q.
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CROSSREFS
| Cf. A000945, A057204-A057208, A051308-A051335, A124984-A125038, A125037-A125045.
Sequence in context: A023352 A142476 A136067 * A142531 A142693 A142840
Adjacent sequences: A125035 A125036 A125037 * A125039 A125040 A125041
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KEYWORD
| more,nonn
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AUTHOR
| Nick Hobson Nov 18 2006
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EXTENSIONS
| a(9)-a(14) from Sean A. Irvine (sairvin(AT)xtra.co.nz), Jun 27 2011
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