This site is supported by donations to The OEIS Foundation.

Annual Appeal: Today, Nov 11 2014, is the 4th anniversary of the launch of the new OEIS web site. 70,000 sequences have been added in these four years, all edited by volunteers. Please make a donation (tax deductible in the US) to help keep the OEIS running.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A165255 Solinas primes; primes of the form p = 2^a +/- 2^b +/- 1 where 0 < b < a. 1
 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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The primes not in the sequence are 43, 53, 83, 89, 101, 103, 107, 109, 139,... [From R. J. Mathar, Sep 18 2009] LINKS Charles R Greathouse IV, Table of n, a(n) for n = 1..10000 Jerome A. Solinas, Generalized Mersenne numbers (1999) Wikipedia, Solinas prime FORMULA Trivially, a(n) >> exp(sqrt(2n)). - Charles R Greathouse IV, Dec 04 2012 EXAMPLE Triples (a,b,p) are (3,2,3), (3,2,5), (4,3,7), (3,2,11), (3,2,13), (5,4,17), (4,2,19), (4,3,23), (5,2,29), (6,5,31), (5,2,37), (5,3,41), (5,4,47), (6,2,59). [From R. J. Mathar, Sep 18 2009] PROG (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 CROSSREFS Sequence in context: A020615 A172146 A225670 * A223036 A155058 A007703 Adjacent sequences:  A165252 A165253 A165254 * A165256 A165257 A165258 KEYWORD nonn AUTHOR Paul Muljadi, Sep 11 2009 EXTENSIONS More terms from Max Alekseyev and R. J. Mathar, Sep 17 2009 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .