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A059266
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Numbers n such that 4^n - 3 is prime.
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10
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2, 3, 5, 6, 7, 10, 11, 12, 47, 58, 61, 75, 87, 133, 168, 226, 347, 425, 868, 1977, 2815, 3378, 4385, 5286, 7057, 7200, 8230, 8340, 13175, 17226, 18276, 25237, 33211, 58463, 59662, 94555, 120502, 177473, 197017, 351097, 375370
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OFFSET
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1,1
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COMMENTS
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The halved even terms of A050414. - R. J. Mathar, Feb 26 2008
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REFERENCES
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Daniel Minoli, Voice over MPLS, McGraw-Hill, New York, NY, 2002, ISBN 0-07-140615-8 (p.114-134) [From Daniel Minoli (daniel.minoli(AT)ses.com), Aug 26 2009]
Daniel Minoli, New Results For Hyperperfect Numbers, Abstracts American Math. Soc., October 1980, Issue 6, Vol. 1, pp. 561. [From Daniel Minoli (daniel.minoli(AT)ses.com), Aug 26 2009]
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LINKS
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Table of n, a(n) for n=1..41.
Daniel Minoli, W. Nakamine, Mersenne Numbers Rooted On 3 For Number Theoretic Transforms, 1980 IEEE International Conf. on Acoust., Speech and Signal Processing. [From Daniel Minoli (daniel.minoli(AT)ses.com), Aug 26 2009]
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MATHEMATICA
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Select[Range[10000], PrimeQ[4^# - 3] &] (* G. C. Greubel, Jan 03 2016 *)
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PROG
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(PARI) is(n)=isprime(4^n-3) \\ Charles R Greathouse IV, Feb 17 2017
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CROSSREFS
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Cf. A000040.
Sequence in context: A136149 A101882 A318239 * A336222 A252895 A336224
Adjacent sequences: A059263 A059264 A059265 * A059267 A059268 A059269
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KEYWORD
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nonn
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AUTHOR
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G. L. Honaker, Jr., Jan 23 2001
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EXTENSIONS
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425 and 868 found by Andrey V. Kulsha, Feb 02 2001
More terms (not certified prime) from Jason Earls, Jan 04 2002
9 more terms from Ryan Propper, Feb 27 2008
a(32)-a(41) derived from A050414 by Robert Price, Apr 26 2014
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STATUS
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approved
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