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A082862 Prime(2^j) at which (prime(1+2^n)-prime(2^n))/log(prime(2^n)) sets a (low) record. 9
1, 311, 1619, 3671, 1742537, 148948139, 2777105129 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Similar to but not identical to A074327.

LINKS

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

American Institute of Mathematics, Recent information

American Institute of Mathematics, Small gaps between consecutive primes

American Institute of Mathematics, On the error..

EXAMPLE

The values of quotients at primes of this sequence are as follows: 0.348445, 0.270652, 0.243658, 0.139171, 0.106275, 0.0919765

MATHEMATICA

q=1; Do[s=(Prime[2^n+1]-Prime[2^n])/Log[Prime[2^n]]//N; If[s<q, Print[{Prime[2^n], s}]; q=s], {n, 1, 30}]

CROSSREFS

Cf. A074327.

Sequence in context: A046495 A061329 A276662 * A274236 A213814 A305546

Adjacent sequences:  A082859 A082860 A082861 * A082863 A082864 A082865

KEYWORD

nonn

AUTHOR

Labos Elemer, Apr 14 2003

STATUS

approved

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Last modified July 15 23:32 EDT 2020. Contains 335774 sequences. (Running on oeis4.)