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A084738 Smallest prime of the form (n^k-1)/(n-1), or 0 if no such prime exists. 4
3, 13, 5, 31, 7, 2801, 73, 0, 11, 50544702849929377, 13, 30941, 211, 241, 17, 307, 19, 109912203092239643840221, 421, 463, 23, 292561, 601, 0, 321272407, 757, 29, 732541, 31, 917087137, 0, 1123, 2458736461986831391 (list; graph; refs; listen; history; internal format)
OFFSET

2,1

COMMENTS

As mentioned by Dubner, when n is a power (greater than 1) of a prime, then (n^k-1)/(n-1) will usually be composite for all k, which is the case for n = 9, 25, 32 and 49. - T. D. Noe (noe(AT)sspectra.com), Jan 23 2004

REFERENCES

H. Dubner, Generalized repunit primes, Math. Comp., 61 (1993), 927-930.

EXAMPLE

a(8) = 73 = (8^3-1)/(8-1).

CROSSREFS

Cf. A076481.

Cf. A084740 (least k such that (n^k-1)/(n-1) is prime).

Sequence in context: A050089 A125571 A187023 * A073580 A173203 A140445

Adjacent sequences:  A084735 A084736 A084737 * A084739 A084740 A084741

KEYWORD

nonn

AUTHOR

Amarnath Murthy and Meenakshi Srikanth (amarnath_murthy(AT)yahoo.com), Jun 15 2003

EXTENSIONS

More terms from T. D. Noe (noe(AT)sspectra.com), Jan 23 2004

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Last modified February 13 08:12 EST 2012. Contains 205451 sequences.