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Search: id:A072532
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A072532 a(0)=1; for n>0, a(n) = smallest prime of the form k*a(n-1)-1 with k>1. +0
4
1, 2, 3, 5, 19, 37, 73, 1021, 8167, 16333, 326659, 3919907, 47038883, 188155531, 2257866371, 76767456613, 1535349132259, 12282793058071, 147393516696851, 4127018467511827, 107302480155307501, 1502234722174305013 (list; graph; listen)
OFFSET

0,2

COMMENT

Conjecture: If a(n) = k*a(n-1)-1 then k < a(n-1).

A theorem of Dirichlet shows the sequence to be infinite. - Don Reble (djr(AT)nk.ca), Aug 03 2002

LINKS

T. D. Noe, Table of n, a(n) for n=0..100

CROSSREFS

Cf. A061092.

Sequence in context: A040107 A161414 A079376 this_sequence A038705 A066754 A118625

Adjacent sequences: A072529 A072530 A072531 this_sequence A072533 A072534 A072535

KEYWORD

nice,nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Aug 02 2002

EXTENSIONS

More terms from Don Reble (djr(AT)nk.ca), Aug 03 2002

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Last modified December 11 12:57 EST 2009. Contains 170656 sequences.


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