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A208456 Numbers n such that prime(n) <= 2^(prime(n+1)-prime(n)) < prime(n+1). 0

%I

%S 1,2,6,18,172,6542,2874398515

%N Numbers n such that prime(n) <= 2^(prime(n+1)-prime(n)) < prime(n+1).

%C Next term is approximately 1.386 * 10^43. [_Charles R Greathouse IV_, Feb 26 2012]

%o (PARI) for(k=1,log(default(primelimit))\log(2), p=precprime(2^k); q=nextprime(2^k+1);t=2^(q-p);if(p<=t&&q>t,print1(primepi(p)", "))) \\ _Charles R Greathouse IV_, Feb 26 2012

%Y Cf. A206482, A208151.

%K nonn

%O 1,2

%A _Gerasimov Sergey_, Feb 26 2012

%E a(4) corrected, a(6)-a(7) added by _Charles R Greathouse IV_, Feb 26 2012

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Last modified September 23 12:06 EDT 2021. Contains 347616 sequences. (Running on oeis4.)