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

[Tw Mike]

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.

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.

Yours mike,