login
A226085
Irregular triangular array T(n,k) of consecutive composites.
1
4, 8, 9, 10, 32, 33, 34, 35, 36, 212, 213, 214, 215, 216, 217, 218, 219, 220, 2312, 2313, 2314, 2315, 2316, 2317, 2318, 2319, 2320, 2321, 2322, 30032, 30033, 30034, 30035, 30036, 30037, 30038, 30039, 30040, 30041, 30042, 30043, 30044, 30045, 30046
OFFSET
1,1
COMMENTS
Row n contains the p(n+1)-2 consecutive integers between p(1)*p(2)***p(n)+2 and p(1)*p(2)***p(n) + p(n+1)-1 inclusive, where p(n) is the n-th prime.
REFERENCES
R. L. Graham, D. E. Knuth and O. Patashnick, "Concrete mathematics", Addison Wesley, page 111.
LINKS
EXAMPLE
4;
8, 9, 10;
32, 33, 34, 35, 36;
212, 213, 214, 215, 216, 217, 218, 219, 220;
2312, 2313, 2314, 2315, 2316, 2317, 2318, 2319, 2320, 2321, 2322;
MAPLE
p:= proc(n) p(n):= ithprime(n)*`if`(n=1, 1, p(n-1)) end:
T:= n-> seq(i, i=p(n)+2..p(n)+ithprime(n+1)-1):
seq(T(n), n=1..7); # Alois P. Heinz, May 25 2013
MATHEMATICA
Table[Range[Product[Prime[n], {n, 1, m}] + 2,
Product[Prime[n], {n, 1, m}] + Prime[m + 1] - 1], {m, 1,
6}] // Grid
CROSSREFS
Sequence in context: A094349 A118715 A175839 * A104623 A228653 A158758
KEYWORD
nonn,tabf
AUTHOR
Geoffrey Critzer, May 25 2013
STATUS
approved