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A051887 Minimal and special 2k-Germain primes, where 2k is A002110, primorial number. +0
5
2, 2, 2, 2, 2, 5, 17, 11, 11, 11, 2, 23, 7, 43, 19, 3, 5, 2, 7, 3, 61, 53, 2, 41, 47, 2 (list; graph; listen)
OFFSET

1,1

COMMENT

Minimal p sequence so that primorial*p+1 is also prime.

While p is in A005384, the Q(n)p+1 primes are in A005385(primorial-safe primes)

FORMULA

Analogous to or subset of A051686, where the even numbers are: 2, 6, ..., A002110(n), ...

EXAMPLE

a(25) is 47 because Q(25)*47+1 is also prime and minimal with this property: Q(25)*47+1=47*2305567963945518424753102147331756070+1 =108361694305439365963395800924592535291 is a minimal prime. The first 6 terms (2,2,2,2,2,5) correspond to first entries in A005384, A007693, A051645, A051647, A051653, A051654 respectively.

CROSSREFS

A002110, A005384, A005385, A051686, A007693, A051886, A051888.

Sequence in context: A162487 A115101 A023569 this_sequence A139516 A160762 A112968

Adjacent sequences: A051884 A051885 A051886 this_sequence A051888 A051889 A051890

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Dec 15 1999

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Last modified December 9 18:50 EST 2009. Contains 170568 sequences.


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