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MathGroup Archive 2005

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Re: Looking for n for which all 2-partitions are prime partitions.

  • To: mathgroup at smc.vnet.net
  • Subject: [mg60293] Re: Looking for n for which all 2-partitions are prime partitions.
  • From: Peter Pein <petsie at dordos.net>
  • Date: Sat, 10 Sep 2005 06:46:42 -0400 (EDT)
  • References: <dfrgjr$fq8$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Gilmar schrieb:
> Dear Mathematica User Group:
> 
> Is it possible to find an even number n => 4 such that the values
> (n - Prime[i]) are primes for ALL integers i in the interval
> [1, PrimePi[n/2]]?  
...
> Thank you for your help!
> 

Gilmar,

if n is even, let i=1. Then Prime[i]=2 and n-Prime[i] is even too.

=> No

-- 
Peter Pein, Berlin
GnuPG Key ID: 0xA34C5A82
http://people.freenet.de/Peter_Berlin/


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