Covering sets for K2^n+4^n+1 with odd K

[Tomasz Ordowski]

Hello again! 

Let K be odd. If (K+2^n)2^n has a covering set, 

then (K+2^n)2^n+1 is composite for all n > 0. 

K = 15, does not have a visible covering set, 

but I also did not find any prime of the form

(15+2^n)2^n+1 for n > 0. So search better!   

For K = 25, the covering set {3, 5} is trivial.   

For K = 169 : {3, 7, 13} is a bit less trivial. 

Find more such numbers K to investigate

(if possible with a non-trivial covering set).

 Are there any odd primes among them? 

Best, 

Tom Ordo 

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https://en.wikipedia.org/wiki/Covering_set 

[Tomasz Ordowski]

PS. Correction, it should be:

[...] If (K+2^n)2^n+1 has a covering set, [...]. 

Sorry for my mistake in the second sentence.