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A075079 Perfect power pp such such 2*pp+1 is prime: 2*A001597(n) + 1 is prime. +0
1
1, 8, 9, 36, 81, 125, 128, 216, 243, 441, 576, 729, 900, 1089, 1296, 1331, 1728, 1764, 2025, 4356, 5184, 5625, 7569, 8000, 8649, 9216, 9261, 9801, 10404, 11025, 15129, 17424, 17576, 18225, 19683, 23409 (list; graph; listen)
OFFSET

1,2

COMMENT

There are a lot of pp's such that 2*pp+1 is prime. On the contrary there are only two pp's < 10^6 such that (pp-1)/2 is prime: {27, 2187}.

FORMULA

2*A001597(n)+1.

EXAMPLE

8: 2*8+1=17 is prime.

CROSSREFS

Cf. A001597.

Sequence in context: A041915 A036764 A129548 this_sequence A041933 A041138 A048068

Adjacent sequences: A075076 A075077 A075078 this_sequence A075080 A075081 A075082

KEYWORD

easy,nonn

AUTHOR

Zak Seidov (zakseidov(AT)yahoo.com), Oct 11 2002

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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