|
Search: id:A051886
|
|
|
| A051886 |
|
The minimal 2^w - Germain primes in order of increasing exponent w. |
|
+0
5
|
|
| 2, 3, 2, 7, 3, 3, 2, 3, 23, 13, 29, 3, 5, 7, 2, 37, 53, 3, 11, 7, 11, 37, 71, 73, 5, 7, 17, 13, 23, 3, 239, 43, 113, 163, 59, 3, 89, 349, 5, 97, 3, 73, 11, 67, 101, 19, 101, 61, 23, 7, 17, 7, 233, 127, 5, 541, 29, 103, 71, 31, 53, 109, 179, 163, 71, 3, 929, 31, 23, 193, 101
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
Minimal p sequence so that 2^wp+1 is prime.
It corresponds to A051686, where 2k is a power of 2. First terms of A005384, A023212, A023228 corresponds to first,2nd and 3rd terms of this sequence. The first 12 primes appear here and below 2^102 altogether 46 distinct primes.
|
|
FORMULA
|
p and (2^w)*p+1 are equally primes, p is the smallest of this property
|
|
EXAMPLE
|
The 10th term is 13, the first term in 1024-Germain prime sequence: {13,19,37,79,223,...}. The largest prime was found for 2^79:both 1427 and 604462909807314587353088*1427+1=862568572295037916152856577 are primes.
|
|
CROSSREFS
|
A051686, A005384, A023212, A023228, A051887, A051888.
Adjacent sequences: A051883 A051884 A051885 this_sequence A051887 A051888 A051889
Sequence in context: A143806 A109878 A104565 this_sequence A118007 A122697 A129022
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Labos E. (labos(AT)ana.sote.hu), Dec 15 1999
|
|
|
Search completed in 0.004 seconds
|
