1,1

A. Murthy, Some New Smarandache Sequence, Functions and Partitions, Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000.

A. Murthy, An application of Smarandache LCM sequence and the largest number divisible by all the integers not exceeding the r-th root, Preprint.

N. Ozeki, On the problem 1, 2, 3, ..., [ n^(1/k) ] | n, Journal of the College of Arts and Sciences, Chiba University (Chiba, Japan), Vol. 3, No. 4 (Sept. 1962), pp. 427-431 [ Math. Rev. 30 213(1085) 1965 ].

J. Roberts, Lure of the Integers, Math. Assoc. America, 1992, p. 277.

D. O. Shklyarsky, N. N. Chentsov and I. M. Yaglom, Selected Problems and Theorems in Elementary Mathematics; Problem 78; Mir Publishers, Moscow.

D. L. Silverman, Problem 159, Pi Mu Epsilon Journal, Vol. 4, No. 3, Fall 1965, p. 124.

T. D. Noe, Table of n, a(n) for n = 1..50

Smarandache web site

It has been shown that a(n) < {p(2n)}^n, where p(2n) is the (2n)-th prime. - Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Apr 26 2001

k=1; lc=1; Table[While[r=Floor[lc^(1/n)]; Union[Mod[lc, Range[r]]]=={0}, k++; good=lc; lc=LCM[lc, k]]; m=2; While[r=Floor[(m*good)^(1/n)]; Union[Mod[m*good, Range[r]]]=={0}, m++ ]; m=m-1; m*good, {n, 50}] - T. D. Noe (noe(AT)sspectra.com), Aug 01 2006

Adjacent sequences: A003099 A003100 A003101 this_sequence A003103 A003104 A003105

Sequence in context: A052670 A052736 A103904 this_sequence A052712 A133413 A012236

nonn,nice

njas, H. W. Gould

Corrected and extended by T. D. Noe (noe(AT)sspectra.com), Aug 01 2006