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A051886
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The minimal 2^w - Germain primes in order of increasing exponent w.
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4
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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; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| 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.
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FORMULA
| p and (2^w)*p+1 are equally primes, p is the smallest of this property
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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.
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CROSSREFS
| A051686, A005384, A023212, A023228, A051887, A051888.
Sequence in context: A109878 A104565 A144456 * A180916 A205687 A118007
Adjacent sequences: A051883 A051884 A051885 * A051887 A051888 A051889
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KEYWORD
| nonn
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AUTHOR
| Labos E. (labos(AT)ana.sote.hu), Dec 15 1999
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