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A028334 Differences between consecutive primes, divided by 2.
(Formerly N0030)
+0
10
1, 1, 2, 1, 2, 1, 2, 3, 1, 3, 2, 1, 2, 3, 3, 1, 3, 2, 1, 3, 2, 3, 4, 2, 1, 2, 1, 2, 7, 2, 3, 1, 5, 1, 3, 3, 2, 3, 3, 1, 5, 1, 2, 1, 6, 6, 2, 1, 2, 3, 1, 5, 3, 3, 3, 1, 3, 2, 1, 5, 7, 2, 1, 2, 7, 3, 5, 1, 2, 3, 4, 3, 3, 2, 3, 4, 2, 4, 5, 1, 5, 1, 3, 2, 3, 4, 2, 1, 2, 6, 4, 2, 4, 2, 3, 6, 1, 9, 3, 5, 3, 3, 1, 3 (list; graph; listen)
OFFSET

2,3

COMMENT

With an initial zero, gives the numbers of even numbers between two successive primes. - Giovanni Teofilatto (g.teofilatto(AT)tiscalinet.it), Nov 04 2005

REFERENCES

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 870.

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

LINKS

T. D. Noe, Table of n, a(n) for n=2..10000

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].

MATHEMATICA

Table[ Floor[(Prime[n + 1] - Prime[n])/2], {n, 105}] (* Robert G. Wilson v *)

CROSSREFS

Cf. A005521.

Equals 2*A001223 for n>1.

Sequence in context: A023118 A122197 A030718 this_sequence A083269 A097306 A102632

Adjacent sequences: A028331 A028332 A028333 this_sequence A028335 A028336 A028337

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified December 4 23:11 EST 2009. Contains 170347 sequences.


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