[seqfan] Re: seq [1,5,7,11]

[Olivier Gerard]

On Sun, May 11, 2014 at 2:07 PM, Tw Mike <mt.kongtong at gmail.com> wrote:

> Dear seq fans,
>
> i'm trying submit seq [1,5,7,11] to OEIS.
> Seq [1,5,7,11]: it is conjectured that any nonnegative integer multiply by
> 12 then add one of the numbers must get at least a prime except 3.
>
>
Sequences must have 4 significative terms to be in the OEIS. And you must
write down a proper definition of what the terms are.
In this particular case this is even more uncalled for as so many sequences
starts that way.



> Let's take a random number 365 for test:
>
> ?isprime(12∗365+1)
> %1=0
> ?isprime(12∗365+5)
> %2=0
> ?isprime(12∗365+7)
> %3=0
>
> Is this correct? Here's one more test:
>
> ?isprime(12∗365+11)%4=1
>
> Any check,test,edit,suggestion, theory,clue,research are welcomed.
>
>

You should learn a programming language to test your ideas further.
This fails first for 44

529, 533, 535 and 539 are all composites.


But the sequence of numbers failing your conditions

44, 70, 72, 74, 105, 111, 112, 132, 137, 140, 147, ... is apparently not in
the OEIS


As there are arbitrary large prime gaps, any such system is probably doomed.

Olivier