--- In firstname.lastname@example.org
, "Mark Underwood"
> Hi Bill,
> Well, is this not further evidence that lawyers have a penchant for
> making simple things overly complex? :) Nonetheless you are still in
> good company because Pierre de Fermat was also a lawyer if I remember
> Anyways, the Loosey-Goosey Goldbach proposal first stalls at
> I = 60
> I = 61.
> That is because there is a relatively huge prime gap between the prime
> 113 and the next prime 127.
> For instance, if I = 60, there is no N that is 1,3,or 5 away from 60
> which when added to 60 will yield a prime.
Now I'm making it more complex than necessary, and I'm not even a
Bill's proposal simply amounted to this: For every even integer there
is a prime that is 1,3 or 5 units away. This is a no go, but it
reminds me of an earlier proposal of mine: For every positive integer
n there is a prime or prime power just a square (no larger than n) away.
2 + 1^2 = 3
33 - 5^2 = 2^3.
Proof to follow.