OFFSET
1,1
COMMENTS
The halved even terms of A050414. - R. J. Mathar, Feb 26 2008
REFERENCES
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]
LINKS
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]
EXAMPLE
For k = 10, 4^10 - 3 = 1048573 is prime.
MATHEMATICA
Select[Range[10000], PrimeQ[4^# - 3] &] (* G. C. Greubel, Jan 03 2016 *)
PROG
(PARI) is(n)=isprime(4^n-3) \\ Charles R Greathouse IV, Feb 17 2017
CROSSREFS
KEYWORD
nonn
AUTHOR
G. L. Honaker, Jr., Jan 23 2001
EXTENSIONS
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
a(42)-a(45) derived from A050414 by Elmo R. Oliveira, Nov 28 2023
STATUS
approved