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A087103 Smallest jumping champion for prime(n). +0
4
1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 2, 2, 2, 2, 2, 6, 6, 6, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6 (list; graph; listen)
OFFSET

2,3

COMMENT

A number is called a jumping champion for n, if it is the most frequently occurring difference between consecutive primes <= n;

there are occasionally several jumping champions: see A087102; A087104(n) is the greatest jumping champion for prime(n).

REFERENCES

A. Odlyzko, M. Rubinstein and M. Wolf, Jumping Champions, Experimental Math., 8 (no. 2) (1999).

LINKS

A. Odlyzko, M. Rubinstein and M. Wolf, Jumping Champions

Eric Weisstein's World of Mathematics, Jumping Champion

A. Odlyzko, M. Rubinstein and M. Wolf, Jumping Champions, Experimental Math., 8 (no. 2) (1999).

CROSSREFS

Cf. A001223, A005250.

Sequence in context: A163857 A111893 A121902 this_sequence A111972 A073458 A105519

Adjacent sequences: A087100 A087101 A087102 this_sequence A087104 A087105 A087106

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Aug 10 2003

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Last modified March 20 01:21 EDT 2010. Contains 173643 sequences.


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