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 A206482 Primes p(k) such that p(k) <= 2^(p(k+1)-p(k)) < p(k+1). 1
 2, 3, 13, 61, 1021, 65521, 68719476731, 1427247692705959881058285969449495136382746621 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The associated prime gaps p(k+1)-p(k) are 1, 2, 4, 6, 10, 16, 36, 150,.. Next gap is 900, corresponding to the 271-digit a(9). - Charles R Greathouse IV, Mar 17 2015 LINKS EXAMPLE 2 is in the sequence because prime(1)=2^(prime(1+1)-prime(1))=n && d< nextprime(n+1),             return(1),             return(0)         ),      return(0)     ) } { for(po=1, 200,     n =precprime(2^po) ;     if (isA206482(n) , print(n)) ; ) ; } \\ R. J. Mathar, Feb 22 2012 CROSSREFS Cf. A000040, A001223. Sequence in context: A184179 A100102 A208202 * A164582 A068945 A219698 Adjacent sequences:  A206479 A206480 A206481 * A206483 A206484 A206485 KEYWORD nonn AUTHOR Juri-Stepan Gerasimov, Feb 15 2012 STATUS approved

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Last modified September 22 02:48 EDT 2021. Contains 347605 sequences. (Running on oeis4.)