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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. +0
10
1, 311, 1619, 3671, 1742537, 148948139, 2777105129 (list; graph; listen)
OFFSET

1,2

COMMENT

Similar to but not identical to A074327.

LINKS

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: A067380 A046495 A061329 this_sequence A071644 A139638 A112542

Adjacent sequences: A082859 A082860 A082861 this_sequence A082863 A082864 A082865

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Apr 14 2003

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.


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