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A165255
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Solinas primes; primes of the form p = 2^a +/- 2^b +/- 1 where 0 < b < a.
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1
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3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 47, 59, 61, 67, 71, 73, 79, 97, 113, 127, 131, 137, 191, 193, 223, 239, 241, 251, 257, 263, 271, 383, 449, 479, 503, 509, 521, 577, 641, 769, 991, 1009, 1019, 1021, 1031, 1033, 1039, 1087, 1151, 1153, 1279, 2017
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OFFSET
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1,1
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COMMENTS
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The primes not in the sequence are 43, 53, 83, 89, 101, 103, 107, 109, 139,... -R. J. Mathar,Sep 18 2009
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LINKS
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FORMULA
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EXAMPLE
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3 = 2^3 - 2^2 - 1.
5 = 2^3 - 2^2 + 1.
7 = 2^4 - 2^3 - 1.
11 = 2^3 + 2^2 - 1.
13 = 2^3 + 2^2 + 1.
17 = 2^5 - 2^4 + 1.
19 = 2^4 + 2^2 - 1.
23 = 2^4 + 2^3 - 1.
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PROG
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(PARI) go(n)=my(v=List(), ta, tb); for(a=2, n, ta=2^a; tb=1; for(b=1, a-1, tb<<=1; if(ispseudoprime(ta+tb+1), listput(v, ta+tb+1)); if(ispseudoprime(ta+tb-1), listput(v, ta+tb-1)); if(ispseudoprime(ta-tb+1), listput(v, ta-tb+1)); if(ispseudoprime(ta-tb-1), listput(v, ta-tb-1)))); vecsort(Vec(v),, 8) \\Charles R Greathouse IV,Dec 04 2012
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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