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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
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
KEYWORD
nonn
AUTHOR
Labos Elemer, Apr 14 2003
STATUS
approved

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Last modified March 28 05:39 EDT 2024. Contains 371235 sequences. (Running on oeis4.)