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A051900 Minimal 2^w safe-primes: 2^n*A051886[n]+1 prime numbers. +0
2
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; listen)
OFFSET

1,1

COMMENT

While among the first 101 of A051886[n] 46 distinct primes occur, here all derived 2^w-safe primes are different.

FORMULA

2^w - generalization of A005385.

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.

CROSSREFS

Cf. A005385, A051886.

Sequence in context: A019382 A145040 A125146 this_sequence A120062 A081769 A101864

Adjacent sequences: A051897 A051898 A051899 this_sequence A051901 A051902 A051903

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Dec 16 1999

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Last modified December 17 23:40 EST 2009. Contains 171025 sequences.


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