A192720 - OEIS

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A192720

High-water marks of A062357: record values of prime(n)-n*(prime(n+1)-prime(n)).

1, 3, 9, 15, 25, 31, 49, 51, 71, 79, 97, 105, 107, 129, 135, 155, 161, 183, 209, 257, 265, 283, 325, 361, 381, 391, 409, 419, 529, 537, 539, 561, 577, 677, 685, 697, 705, 727, 771, 827, 865, 871, 877, 889, 977, 991

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OFFSET

1,2

COMMENTS

The numbers in the sequence are generated in correspondence of twin primes. I.e. a(n)=-A(062357(k)) where k is such as p(k) is the lowest of a pair of twin primes. The sequence seems to have a good linear approximation with something like 11^2*n^2-10*11^4.

LINKS

Table of n, a(n) for n=1..46.

CROSSREFS

Cf. A000040, A001223, A062357.

Sequence in context: A323031 A058972 A026222 * A357167 A099989 A209980

Adjacent sequences: A192717 A192718 A192719 * A192721 A192722 A192723

KEYWORD

nonn

AUTHOR

Andrea Raffetti, Jul 08 2011

STATUS

approved