|
| |
|
|
A059801
|
|
Numbers n such that 4^n - 3^n is prime.
|
|
109
| |
|
|
2, 3, 7, 17, 59, 283, 311, 383, 499, 521, 541, 599, 1193, 1993, 2671, 7547, 24019, 46301, 48121, 68597, 91283, 131497, 148663, 184463, 341233
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,1
|
|
|
COMMENTS
| Some of the larger entries may only correspond to probable primes.
The values corresponding to 1193 (719 digits) and 1993 (1200 digits) have been certified prime with Primo. - Rick L. Shepherd (rshepherd2(AT)hotmail.com), Sep 10 2002
8 more terms found by Jean-Louis Charton during 2004 - 2006. Corresponding numbers of decimal digits are 14461, 27876, 28972, 41300, 54958, 79170, 89505, 111058, 205443. - Alexander Adamchuk (alex(AT)kolmogorov.com), Dec 02 2006
|
|
|
MATHEMATICA
| Select[Range[1000], PrimeQ[4^# - 3^#] &] (* Alonso del Arte, Nov 03 2011 *)
|
|
|
PROG
| (PARI) select(vector(10^5, i, i), n->ispseudoprime(4^n-3^n)) \\ Charles R Greathouse IV, Feb 11 2011
|
|
|
CROSSREFS
| Cf. A000043, A057468, A059802, etc., A129736, A129737.
Sequence in context: A113483 A173868 A176074 * A102226 A195530 A058334
Adjacent sequences: A059798 A059799 A059800 * A059802 A059803 A059804
|
|
|
KEYWORD
| nonn,nice
|
|
|
AUTHOR
| Mike Oakes (Mikeoakes2(AT)aol.com), Feb 23 2001
|
| |
|
|
