

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
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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), 10821089.


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



