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A083201 a(1) = 1. For n>1, let x = a(n-1)+1; then a(n) is the first prime in the sequence 2*x-1, 2*x-3, 4*x-1, 4*x-3, 8*x-1, 8*x-3, ..., (2^k)*x-1, (2^k)*x-3, ... +0
2
1, 3, 7, 13, 53, 107, 431, 863, 6911, 27647, 442367, 7247757311, 3710851743743, 7421703487487, 31875973759370105192447, 71778311772385457136805581255138607103 (list; graph; listen)
OFFSET

1,2

EXAMPLE

a(9) = 6911 because a(8)=863 and its sequence starts 1727, 1725, 3455, 3453, 6911, ...; 6911 is the first prime.

CROSSREFS

Cf. A084361.

Sequence in context: A020641 A062736 A103564 this_sequence A004060 A028491 A137474

Adjacent sequences: A083198 A083199 A083200 this_sequence A083202 A083203 A083204

KEYWORD

nonn

AUTHOR

Amarnath Murthy and Meenakshi Srikanth (amarnath_murthy(AT)yahoo.com), Apr 27 2003

EXTENSIONS

Edited by Don Reble (djr(AT)nk.ca), Jun 20 2003

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Last modified December 20 16:54 EST 2009. Contains 171081 sequences.


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