At 01:31 PM 11/22/2006, Artur wrote:

>I'm looking for members which have Mathematica Programme and can help in
>finding the first number such that
>(PrimeQ[2(n) + 1] == True) && (PrimeQ[4(
>       n) + 1] == True) && (PrimeQ[6(n) + 1] == True) && (PrimeQ[8(
>       n) + 1] == True) && (PrimeQ[10(n) + 1] == True) && (PrimeQ[12(
>       n) + 1] == True) && (PrimeQ[14(n) + 1] == True) && (PrimeQ[16(
>       n) + 1] == True) && (PrimeQ[18(n) + 1] == True) && (PrimeQ[20(
>       n) + 1] == True) && (PrimeQ[22(n) + 1] == True)
>these n is bigger than 4850000000000
>I have Mathematica procedure which is 4000 much more quickest as above but  
>for as big numbers PrimeQ working slow and will be good divided range of  
>searching on few subranges and run each other on different computer.
>If somebody can help let me know. I need information how long time  
>computer can run without reset.

Hi Artur,

Don Reble recently submitted this value, as well as the next two
in the sequence, to the Online Encyclopedia of Integer Sequences:
http://www.research.att.com/~njas/sequences/A071576 .  The least
such n is 946622690475--curiously, this is about one fifth of the
lower bound you give.

-- 
Fred W. Helenius
[EMAIL PROTECTED]


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