

A085904


Numbers n such that n, n+1 and n+2 are highly composite numbers (2), i.e., all prime divisors <= 7 (A002473).


0




OFFSET

1,2


COMMENTS

No more terms < 3*10^7. Probably no more terms.  David Wasserman, Feb 10 2005
No more terms < 2^180.  Donovan Johnson, Oct 10 2012
There are no further terms: see A003032 (and maybe A002072).  Don Reble, Mar 14 2019


LINKS

Table of n, a(n) for n=1..10.


EXAMPLE

48 is a member as 48, 49 and 50 have all prime divisors <= 7.


PROG

(PARI) mx=2^180+2; v=vector(4607193); c=0; for(e1=0, 180, x1=2^e1; for(e2=0, 113, x2=x1*3^e2; if(x2>mx, next(2)); for(e3=0, 77, x3=x2*5^e3; if(x3>mx, next(2)); for(e4=0, 64, x4=x3*7^e4; if(x4>mx, next(2)); c++; v[c]=x4)))); v=vecsort(v); for(i=1, 4607191, if(v[i+1]v[i]==1, if(v[i+2]v[i]==2, print1(v[i] ", ")))) /* Donovan Johnson, Oct 10 2012 */


CROSSREFS

Cf. A002473.
Sequence in context: A088416 A057913 A245802 * A032997 A319724 A097546
Adjacent sequences: A085901 A085902 A085903 * A085905 A085906 A085907


KEYWORD

nonn,fini,full


AUTHOR

Amarnath Murthy, Jul 09 2003


EXTENSIONS

Offset corrected and missing term added by Donovan Johnson, Oct 10 2012


STATUS

approved



