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A093625 Primes of the form (3^n+1)/2. +0
1
2, 5, 41, 21523361, 926510094425921, 1716841910146256242328924544641 (list; graph; listen)
OFFSET

1,1

COMMENT

n such that (3^n+1)/2 is prime: 1, 2, 4, 16, 32, 64.

Primes can only occur for n=2^k. - Don Reble (djr(AT)nk.ca), April 28 2004. The next term (if it exists) has k>=21 (i.e. more than 10^6 decimal digits).

EXAMPLE

a(3)=41 because it can be written as (3^4+1)/2=82/2.

CROSSREFS

Sequence in context: A054859 A076725 A059917 this_sequence A042447 A075872 A075891

Adjacent sequences: A093622 A093623 A093624 this_sequence A093626 A093627 A093628

KEYWORD

nonn,hard

AUTHOR

Hugo Pfoertner (hugo(AT)pfoertner.org), Apr 19 2004

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Last modified December 17 19:39 EST 2009. Contains 170821 sequences.


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