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A208456
Numbers n such that prime(n) <= 2^(prime(n+1)-prime(n)) < prime(n+1).
0
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]
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
Sequence in context: A212653 A323104 A376932 * A056743 A064535 A240643
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