numbers that are concatenation of its distinct prime divisors

Giovanni Resta g.resta at iit.cnr.it
Sat Aug 26 09:07:50 CEST 2006


Tanya Khovanova wrote:

> Hello seqfans,
> 
> Numbers that are concatenations of its distinct prime divisors should be a subsequence of [...] 
> Out of these numbers only the first two (735 and 3792) 
 > are the concatenations of its distinct prime divisors.
> 
> Do you know any more numbers like this?

The smallest ones are
735, 3792, 1341275, 13115375, 22940075, 29373375, 71624133, 311997175,
319953792, 1019127375, 1147983375, 1734009275, 7350032375.

One can also easily find some larger examples, like:

595365737037039341073 = 3^3*5953657*3703703934107

12320940000129861064893197390441900971198439075 =
5^2*123209*4000012986106489319739044190097119843907

23376432078559738134206219312602291325695581014733 =
3^3*23*3764320785597381342062193126022913256955810147

giovanni.







More information about the SeqFan mailing list