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A046026 Smallest prime p dividing n#-1, n#, or n#+1, n squarefree. +0
1
2, 2, 2, 3, 3, 3, 5, 7, 13, 7, 5, 17, 7, 7, 11, 23, 13, 5, 5, 5, 11, 17, 7, 23, 19, 13, 41, 7, 43, 23, 47, 17, 19, 11, 19, 29, 13, 17, 31, 13, 11, 67, 23, 7, 71, 53, 37, 11, 13, 29, 41, 83, 17, 43, 29, 89, 13, 31, 47, 19, 17, 101, 17, 103, 7, 53, 107, 109, 11, 37, 113, 19 (list; graph; listen)
OFFSET

1,1

COMMENT

Also called Smarandache near-to-primorial function.

REFERENCES

Ashbacher, C. ``A Note on the Smarandache Near-To-Primorial Function.'' {\it Smarandache Notions J.} {\bf 7}, 46-49, 1996.

Mudge, M. R. ``The Smarandache Near-To-Primorial Function.'' {\it Abstracts of Papers Presented to the Amer. Math. Soc.} {\bf 17}, 585, 1996.

LINKS

M. L. Perez et al., eds., Smarandache Notions Journal

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

FORMULA

Smallest prime p such that n divides one of p#-1, p#, p#+1

CROSSREFS

Cf. A002110 (primorial numbers), A046027, A013929.

Sequence in context: A035449 A161555 A029058 this_sequence A139801 A132328 A064822

Adjacent sequences: A046023 A046024 A046025 this_sequence A046027 A046028 A046029

KEYWORD

nonn

AUTHOR

Eric Weisstein (eric(AT)weisstein.com)

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Last modified December 2 11:54 EST 2009. Contains 167921 sequences.


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