[seqfan] Re: Sum of any pair of primes (or non-primes) is not in S

David Applegate david at research.att.com
Sat Feb 15 18:37:17 CET 2014


I don't understand.  For sums of distinct primes I find 2+5=7, 3+5=8,
5+7=12, 2+13=15, 5+11=16, 2+19=21, etc. in S.

And for sums of non-primes, 4+9=13, 6+9=15, etc. are in T.

David Applegate

> From seqfan-bounces at list.seqfan.eu Sat Feb 15 12:26:28 2014
> From: Eric Angelini <Eric.Angelini at kntv.be>
> To: Sequence Discussion list <seqfan at list.seqfan.eu>
> Date: Sat, 15 Feb 2014 18:26:06 +0100
> Subject: [seqfan] Sum of any pair of primes (or non-primes) is not in S

> Hello SeqFans,
> The sum of any pair of primes is not 
> in the sequence S (if I'm not wrong):

> S=1,2,3,4,6,7,8,11,12,15,16,17,21,22,
> 23,27,29,33,35,37,38,41,...

> Similarily, the sum of any pair of non-primes 
> is not in the sequence T:

> T=1,2,3,4,6,8,11,13,15,17,18,20,25,27,30,32,37,39,41,44,...

> Best,
> É.

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