|
| |
|
|
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; internal format)
|
|
|
|
OFFSET
| 3,1
|
|
|
REFERENCES
| E. F. Ecklund and R. B. Eggleton, Prime factors of consecutive integers, Amer. Math. Monthly, 79 (1972), 1082-1089.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
|
|
|
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: A033681 A074339 A115164 * A193945 A087147 A152607
Adjacent sequences: A003030 A003031 A003032 * A003034 A003035 A003036
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Robert G. Wilson v (rgwv(AT)rgwv.com)
|
|
|
EXTENSIONS
| Corrected and extended by Andrey V. Kulsha, (andrey_601(AT)tut.by), Aug 01 2011
|
| |
|
|
