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A181129 Smallest primes of the form (i+1)(i+2)...(h-1)(h)1234...(i-1)(i). These elements, by definition, belong to A001292. 1
2341, 89101234567, 45678910111213123, 23456789101112131415161718192021222324251, 30313233341234567891011121314151617181920212223242526272829, 20212223242526272829303132333435363738394041424344454612345678910111213141516171819, 42434445461234567891011121314151617181920212223242526272829303132333435363738394041, 14151617181920212223242526272829303132333435363738394041424344454647484950515212345678910111213 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

If we indicate by a(j) the j-th term of A001292, the sequence above can be synthetized as:

a(8),a(53),a(82),a(302),a(591),a(1055),a(1077),a(1340),a(1499),a(1890),a(2231),a(3109),

a(3145),a(3620),a(3878),a(4405),a(6248),a(8878),a(8888),a(11329),a(11439),a(12310),a(12344),

a(13323),a(13747),a(15883),a(17471),a(17985),a(19815),a(20335),a(21676).

The first 30 terms of the sequence contain fewer than 500 digits. Among the first 22155 terms of A001292 only 31 are primes.

REFERENCES

M. Ripà, "Rudimatematici", Bookshelf, October 2010. M. Vassilev-Missana and K. Atanassov, "Some Smarandache problems", Hexis, 2004.

LINKS

Marco Ripà, Table of n, a(n) for n = 1..31

K. Kashihara, Comments and Topics on Smarandache Notions and Problems, Erhus University Press, 1996, 50 pages.

K. Kashihara, Comments and Topics on Smarandache Notions and Problems, Erhus University Press, 1996, 50 pages. [Cached copy]

M. Ripà, On prime numbers in old and new sequences of integers

F. Smarandache, Only Problems, Not Solutions!, Xiquan Publ., Phoenix-Chicago, 1993.

CROSSREFS

Cf. A001292.

Sequence in context: A043440 A023938 A132204 * A064868 A263556 A255099

Adjacent sequences:  A181126 A181127 A181128 * A181130 A181131 A181132

KEYWORD

nonn,base

AUTHOR

Marco Ripà, Jan 23 2011

EXTENSIONS

Edited by N. J. A. Sloane, Jan 25 2011

STATUS

approved

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Last modified January 16 05:22 EST 2022. Contains 350374 sequences. (Running on oeis4.)