[seqfan] A hopeless problem and a specific question
tomaszordowski at gmail.com
Fri Aug 21 11:34:45 CEST 2020
I have an extremely hard problem:
Are there (odd) positive integers k such that
|k-2^m| is a Sierpinski number for every m>0
and k+2^m is a Riesel number for every m>0
Common sense tells me that ...
Conjecture: such numbers k do not exist.
However, math often goes beyond common sense!
Cf. https://oeis.org/A076335 (the Brier numbers).
The concrete question: Are there pairs of S and R,
where S is a Sierpinski number and R is a Riesel number,
such that |S-R| or S+R is a power of 2 ?
For S in https://oeis.org/A076336
For R in https://oeis.org/A101036
Greetings from Poland,
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