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A051900
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Minimal 2^w safe-primes: 2^n*A051886[n]+1 prime numbers.
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1
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5, 13, 17, 113, 97, 193, 257, 769, 11777, 13313, 59393, 12289, 40961, 114689, 65537, 2424833, 6946817, 786433, 5767169, 7340033, 23068673, 155189249, 595591169, 1224736769, 167772161, 469762049, 2281701377, 3489660929, 12348030977
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| While among the first 101 of A051886[n] 46 distinct primes occur, here all derived 2^w-safe primes are different.
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FORMULA
| 2^w - generalization of A005385.
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EXAMPLE
| 1+2^11*A051886[11] = 2048*29+1 = 59393 = a[11] is the smallest q prime so that (q-1)/2048 is also a (minimal,generalized Germain-) prime. The 101-th term is 2385718429629527733616795432517633=1+(2^101)*941.
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CROSSREFS
| Cf. A005385, A051886.
Sequence in context: A145040 A195549 A125146 * A120062 A081769 A188030
Adjacent sequences: A051897 A051898 A051899 * A051901 A051902 A051903
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KEYWORD
| nonn
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AUTHOR
| Labos E. (labos(AT)ana.sote.hu), Dec 16 1999
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