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A003033
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Smallest integer m such that the product of every 4 consecutive integers > m has a prime factor > prime(n).
(Formerly M2617)
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2
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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
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3,1
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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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.
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EXAMPLE
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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]
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CROSSREFS
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Sequence in context: A074339 A115164 A088801 * A193945 A087147 A337613
Adjacent sequences: A003030 A003031 A003032 * A003034 A003035 A003036
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane, Robert G. Wilson v
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EXTENSIONS
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Corrected and extended by Andrey V. Kulsha, Aug 01 2011
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STATUS
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approved
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