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A178811 The smallest integer that begins the largest run of consecutive integers with the prime signature of A025487(n). 0
1, 2, 4, 33, 8, 10093613546512321, 16, 28375, 1309, 32, 36 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Each prime signature has a maximum number of consecutive integers that can share that prime signature. For example, the prime signature of {1,2} (the 6th prime signature in the sequence A025487), supports a run of 3 consecutive integers with that prime signature. The smallest such triplet is 603, 604,605, so it appears here as the 6th term, corresponding to the 6th prime signature.

The example above is incorrect. The maximum run of consecutive integers with the prime signature of {1, 2} is 5. The smallest run of length 5 is 10093613546512321, 10093613546512322, 10093613546512323, 10093613546512324, 10093613546512325. Therefore a(6)=10093613546512321. Compare A141621. - Bobby Jacobs, Sep 25 2016

LINKS

Table of n, a(n) for n=1..11.

EXAMPLE

For n = 3, A025487(3) = 4, corresponding to a prime signature of {2}. Since the maximum number of consecutive integers with that prime signature is 1, a(3) is 4, the smallest integer that starts a "run" of 1.

CROSSREFS

Cf. A025487, A178810 (maximum size of such runs), A141621.

Sequence in context: A073888 A114642 A200980 * A099433 A051225 A103625

Adjacent sequences:  A178808 A178809 A178810 * A178812 A178813 A178814

KEYWORD

more,nonn

AUTHOR

Will Nicholes, Jun 16 2010

EXTENSIONS

Minor edits by Ray Chandler, Jul 29 2010

a(6) corrected by Bobby Jacobs, Sep 25 2016

STATUS

approved

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Last modified September 26 05:09 EDT 2017. Contains 292502 sequences.