A003033 Smallest integer m such that the product of every 4 consecutive integers > m has a prime factor > prime(n). (Formerly M2617)

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

3,1

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=3..38.

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

Example

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]

Crossrefs

Sequence in context: A355732 A115164 A088801 * A193945 A087147 A363572

Adjacent sequences: A003030 A003031 A003032 * A003034 A003035 A003036

Keyword

nonn

Author

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

Extensions

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

Status

approved