[seqfan] Re: Conjecture on A167055 Numbers n such that 12*n + 5 is prime.

franktaw at netscape.net franktaw at netscape.net
Mon May 19 18:27:11 CEST 2014


This is very similar to the Goldbach conjecture, and probably just as 
difficult.

Franklin T. Adams-Watters

-----Original Message-----
From: Tw Mike <mt.kongtong at gmail.com>
To: Sequence Fanatics Discussion list <seqfan at list.seqfan.eu>
Sent: Mon, May 19, 2014 10:52 am
Subject: [seqfan] Conjecture on A167055 Numbers n such that 12*n + 5 is 
prime.


Dear seqfans,

0, 1, 2, 3, 4, 7, 8, 9, 11, 12, 14, 16, 19, 21,... are itmes of  
A167055.
I conjecture that the set of  the sum of every  two items of this seq is
the set of nonnegative Integers.i.e.:0+0=0,0+1=1,...,1+4=5,...

Further information for A167055:
A167055 nonnegative integers  that not of the following two forms:

3*x^2+(6*y−3)*x+y−1
3*x^2+(6*y−3)*x−y , x,y in Z+.

Yours mike,

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