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A073799 Values at which the least nonnegative remainder of division 2^n/Pi[n] equals zero arise in clusters of consecutive integers. Sequence gives initial terms of clusters. 2
2, 7, 19, 53, 131, 311, 719, 1619, 3671, 8161, 17863, 38873, 84017, 180503 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Length of successive burst is 3,4,4,6,6,6,2,6,20,28,30,.. respectively. Next value seems a bit larger than double of previous one.

LINKS

Table of n, a(n) for n=1..14.

FORMULA

Solutions to Mod[2^(x-1), Pi(x-1)]>0 but Mod[2^x, Pi(x)]=0.

CROSSREFS

Cf. A000079, A000720, A015910, A062173, A064367, A073797, A073798.

Cf. A033844. [From R. J. Mathar, Sep 23 2008]

Sequence in context: A099484 A018030 A051354 * A040016 A145519 A030224

Adjacent sequences:  A073796 A073797 A073798 * A073800 A073801 A073802

KEYWORD

nonn

AUTHOR

Labos Elemer, Aug 12 2002

STATUS

approved

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Last modified March 25 11:59 EDT 2017. Contains 284076 sequences.