[seqfan] Re: A016910 (6n)^2 and twin primes

Giovanni Resta g.resta at iit.cnr.it
Sun Jun 15 11:20:45 CEST 2014


On 6/14/2014 4:47 PM, Tw Mike wrote:
> Dear seqfans,
>
> It is conjectured that  A016910(n) = p_1 + p_2 + p_3 + p_4, where (p_1,
> p_2) and (p_3, p_4) are twin prime pairs.

By whom ?

> Are there some research or paper or progress of this conjecture?

The problem is that it is not even known whether there are
infinite twin primes:
http://mathworld.wolfram.com/TwinPrimeConjecture.html

and clearly the conjecture above implies the twin prime conjecture,
since A016910 is infinite.

Giovanni




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