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A003032 Smallest integer m such that the product of every 3 consecutive integers > m has a prime factor > prime(n).
(Formerly M1875)
3
2, 8, 48, 98, 350, 440, 2430, 2430, 13310, 13454, 17575, 212380, 212380, 212380, 1205644, 1205644, 1205644, 2018978, 3939648, 3939648, 15473808, 15473808, 407498958, 407498958, 407498958, 138982582998, 138982582998, 138982582998, 138982582998 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,1

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

Table of n, a(n) for n=2..30.

E. F. Ecklund and R. B. Eggleton, Prime factors of consecutive integers, Amer. Math. Monthly, 79 (1972), 1082-1089.

CROSSREFS

Sequence in context: A003275 A253665 A078558 * A193944 A058928 A228288

Adjacent sequences:  A003029 A003030 A003031 * A003033 A003034 A003035

KEYWORD

nonn,nice

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from David W. Wilson

Corrected by Andrey V. Kulsha, Aug 08 2011

STATUS

approved

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Last modified December 4 12:40 EST 2021. Contains 349515 sequences. (Running on oeis4.)