[seqfan] A problem with de Polignac numbers

[Tomasz Ordowski]

Dear readers,

I have a hard problem:

Are there de Polignac numbers k>1 such that
k-2^n is a Polignac number for every 1<2^n<k
?

These are odd integers k>3 such that
every positive value of k-2^m-2^n is not prime
for m>=0 and n>=0.

Attention, expect big numbers!

Successful searches!

Thomas Ordowski
____________________
https://oeis.org/A006285