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A047947 Schinzel's rhobar(n), number of distinct lengths of a block of consecutive integers on which a maximum of n primes occurs infinitely often (under the k-tuple conjecture). +0
4
2, 4, 2, 4, 4, 4, 6, 4, 2, 4, 6, 6, 2, 6, 4, 6, 4, 6, 4, 4, 6, 4, 6, 10, 4, 6, 6, 4, 6, 4, 6, 6, 4, 2, 4, 6, 8, 6, 4, 2, 8, 4, 10, 2, 4, 10, 10, 4, 6, 6, 2, 10, 6, 2, 6, 4, 6, 12, 4, 6, 10, 4, 6, 6, 6, 8, 6, 10, 4, 8, 6, 6, 2, 6, 12, 10, 2, 4, 6, 6, 8, 4, 2, 10, 8, 6, 6, 4, 8, 10, 2, 6, 4, 2 (list; graph; listen)
OFFSET

0,1

REFERENCES

Computed by Achim Flammenkamp [ achim(AT)uni-bielefeld.de ].

EXAMPLE

A block of 21 through 26 consecutive integers may contain at most 7 primes infinitely often. There are 6 possible lengths (21 through 26), so rhobar(7) = 6.

CROSSREFS

First differences of A020497.

Sequence in context: A004020 A143235 A069465 this_sequence A018838 A116982 A143271

Adjacent sequences: A047944 A047945 A047946 this_sequence A047948 A047949 A047950

KEYWORD

nonn

AUTHOR

David W. Wilson (davidwwilson(AT)comcast.net)

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Last modified December 4 12:44 EST 2009. Contains 170310 sequences.


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