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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 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 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.)