|
|
A123322
|
|
Products of 8 distinct primes (squarefree 8-almost primes).
|
|
8
|
|
|
9699690, 11741730, 13123110, 14804790, 15825810, 16546530, 17160990, 17687670, 18888870, 20030010, 20281170, 20930910, 21111090, 21411390, 21637770, 21951930, 23130030, 23393370, 23993970, 24534510, 25555530, 25571910
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
|
|
LINKS
|
|
|
EXAMPLE
|
a(1) = 9699690 = 2*3*5*7*11*13*17*19 = A002110(8).
|
|
MAPLE
|
N:= 3*10^7: # to get all terms <= N
pmax:= floor(N/mul(ithprime(i), i=1..7)):
Primes:= select(isprime, [2, seq(i, i=3..pmax, 2)]):
sort(select(`<`, map(convert, combinat:-choose(Primes, 8), `*`), N)); # Robert Israel, Dec 18 2018
|
|
MATHEMATICA
|
f8Q[n_]:=Last/@FactorInteger[n]=={1, 1, 1, 1, 1, 1, 1, 1}; lst={}; Do[If[f8Q[n], AppendTo[lst, n]], {n, 10!, 11!}]; lst (* Vladimir Joseph Stephan Orlovsky, Aug 26 2008 *)
Take[ Sort[ Times @@@ Subsets[ Prime@ Range@ 15, {8}]], 22] (* Robert G. Wilson v, Dec 18 2018 *)
|
|
PROG
|
(PARI) is(n) = my(f = factor(n)); omega(f) == 8 && bigomega(f) == 8 \\ David A. Corneth, Dec 18 2018
|
|
CROSSREFS
|
Cf. A001221, A001222, A005117, A046310, A048692, Squarefree k-almost primes: A000040 (k=1), A006881 (k=2), A007304 (k=3), A046386 (k=4), A046387 (k=5), A067885 (k=6), A123321 (k=7), A115343 (k=9).
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|