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

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

Offset

1,2

Comments

Next term is approximately 1.386 * 10^43. [Charles R Greathouse IV, Feb 26 2012]

Links

Table of n, a(n) for n=1..7.

Prog

(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

Crossrefs

Cf. A206482, A208151.

Sequence in context: A308549 A212653 A323104 * A056743 A064535 A240643

Adjacent sequences: A208453 A208454 A208455 * A208457 A208458 A208459

Keyword

nonn

Author

Gerasimov Sergey, Feb 26 2012

Extensions

a(4) corrected, a(6)-a(7) added by Charles R Greathouse IV, Feb 26 2012

Status

approved