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

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

Author

N. J. A. Sloane

Keywords

• nonn
• nice

References

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

Links

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

Extensions

More terms from David W. Wilson

Corrected by Andrey V. Kulsha, Aug 08 2011