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A003033 Smallest integer m such that the product of every 4 consecutive integers > m has a prime factor > prime(n).
(Formerly M2617)
2
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 (list; graph; refs; listen; history; text; internal format)
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: A074339 A115164 A088801 * A193945 A087147 A337613

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

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Last modified November 27 03:56 EST 2021. Contains 349345 sequences. (Running on oeis4.)