A003033 Smallest integer m such that the product of every 4 consecutive integers > m has a prime factor > prime(n).

3, 7, 9, 63, 63, 168, 322, 322, 1518, 1518, 1680, 10878, 17575, 17575, 17575, 17575, 17575, 17575, 70224, 70224, 97524, 97524, 97524, 97524, 224846, 224846, 612360, 612360, 15473807, 15473807, 15473807, 15473807, 15473807, 15473807, 15473807, 61011223

Offset: 3

Author

N. J. A. Sloane, Robert G. Wilson v

Keywords

• nonn

Examples

			a(3) = 3 since none of (3, 4, 5, 6) are divisible by a prime greater than prime(3) = 5 but any larger sequence of four consecutive integers is divisible by 7 or a larger prime. [_Charles R Greathouse IV_, Aug 02 2011]
		

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

Corrected and extended by Andrey V. Kulsha, Aug 01 2011