OFFSET
1,2
COMMENTS
Numbers n such that 2^(2n) - (largest prime < 2^(2n)) = (2n)^2 -(largest prime < (2n)^2).
Primes in the sequence are: 2, 5, 7,...
EXAMPLE
1 is in the sequence because the distance from 4 to 3 is the same as the distance from 4 to 3.
2 is in the sequence because the distance from 16 to 13 is the same as the distance from 16 to 13.
5 is in the sequence because the distance from 1024 to 1021 is the same as the distance from 100 to 97.
MATHEMATICA
dP[x_] := x - NextPrime[x, -1]; Select[Range[250]*2, (d = dP[#^2]; PrimeQ[2^# - d] && d == dP[2^#]) &]/2 (* Giovanni Resta, Jun 14 2013 *)
CROSSREFS
KEYWORD
nonn,less
AUTHOR
Gerasimov Sergey, Jun 14 2013
EXTENSIONS
a(7)-a(17) from Giovanni Resta, Jun 14 2013
STATUS
approved