|
|
A330275
|
|
Integers n such that lcm(1, ..., n) > exp(n).
|
|
1
|
|
|
19, 31, 32, 43, 47, 49, 53, 61, 73, 74, 75, 79, 83, 84, 89, 103, 107, 109, 110, 111, 112, 113, 114, 115, 116, 117, 131, 139, 140, 141, 151, 169, 173, 174, 179, 181, 182, 183, 184, 185, 193, 194, 195, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 211, 233
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
It is well known that lcm(1, ..., n) is approximately exp(n). For most numbers < 100 it is less than exp(n).
|
|
LINKS
|
|
|
MAPLE
|
select(n -> is(ilcm($1..n) > exp(n)), [$1..300]); # Robert Israel, Dec 08 2019
|
|
MATHEMATICA
|
Select[Range[233], LCM @@ Range[#] > Exp[#] &] (* Amiram Eldar, Dec 08 2019 *)
|
|
PROG
|
(PARI) c=1; for (n=1, 233, c=lcm(c, n); if (c>exp(n), print1 (n", "))) \\ Rémy Sigrist, Dec 08 2019
(Magma) [k:k in [1..250]|Lcm([1..k]) gt Exp(k)]; // Marius A. Burtea, Dec 16 2019
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|