A003032 Smallest integer m such that the product of every 3 consecutive integers > m has a prime factor > prime(n). (Formerly M1875)

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

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 A376029

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