OFFSET
1,1
COMMENTS
We conjecture that every term is prime;
moreover, we conjecture that the sequence is a permutation of the sequence of all primes.
For comparison, if in the definition we replace 2^m with 13^m, then we obtain a sequence containing 25. - Vladimir Shevelev, Dec 07 2014
LINKS
Peter J. C. Moses, Table of n, a(n) for n = 1..10000
MATHEMATICA
Flatten[{{2, 3}, DeleteDuplicates[Select[Map[#/(2^IntegerExponent[#, 2])&[Total[IntegerDigits[2^#]]]&, Range[3, 300]], PrimeQ]]}] (* Peter J. C. Moses, Apr 25 2013 *)
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Vladimir Shevelev, Apr 25 2013
EXTENSIONS
More terms from Peter J. C. Moses, Apr 25 2013
STATUS
approved