|
Search: id:A018844
|
|
|
| A018844 |
|
Arises from generalized Lucas-Lehmer test for primality. |
|
+0 1
|
|
| 4, 10, 52, 724, 970, 10084, 95050, 140452, 1956244, 9313930, 27246964, 379501252, 912670090, 5285770564, 73621286644, 89432354890, 1025412242452, 8763458109130, 14282150107684, 198924689265124
(list; graph; listen)
|
|
|
OFFSET
|
0,1
|
|
|
COMMENT
|
Apparently this was suggested by an article by R. M. Robinson.
Starting values for Lucas-Lehmer test that result in a zero term (mod Mersenne prime Mp) after P-1 steps. - Jason Follas (jfollas_mersenne(AT)hotmail.com), Aug 01 2004
|
|
LINKS
|
Herb Savage et al., Re: Mersenne: starting values for LL-test
|
|
FORMULA
|
Union of sequences a_1=4, a_2=52, a_{n}=14*a_{n-1} - a_{n-2} and b_1=10, b_2=970, b_{n}=98*b_{n-1} - b_{n-2}.
a[1]=14 (mod Mp), a[2]=52 (mod Mp), a[n]=(14*a[n-1]-a[n-2]) (mod Mp). - Jason Follas (jfollas_mersenne(AT)hotmail.com), Aug 01 2004
Though originally noted as the union of two sequences, when the first sequence (14*a[n-1]-a[n-2]) is evaluated modulo a Mersenne prime, the terms of the second sequence (98*b[n-1]-b[n-2]) will occur naturally (just not in numerical order). - Jason Follas (jfollas_mersenne(AT)hotmail.com), Aug 01 2004
|
|
CROSSREFS
|
Adjacent sequences: A018841 A018842 A018843 this_sequence A018845 A018846 A018847
Sequence in context: A151611 A032495 A109387 this_sequence A007027 A096423 A013589
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Robert G. Wilson v, PhD ATP (rgwv(AT)rgwv.com)
|
|
|
Search completed in 0.002 seconds
|