Each of the three consecutive 3-digit numbers n, n+1, n+2 divides N=146,8XX,XXX, where each X represents a digit below 6 .


Please restore N,n.

I extended my spreadsheet to numbers of less than 3 digits and there are lots of small solutions.  As n gets smaller there are multiple values of N

I found it interesting to note that for each of n=3, 4, 5, 6, 7, 8 the largest value of N is the same: 146855520
This is because N has all the right factors
N = 2^5 * 3^2 * 5 * 7 * 17 * 857

Posted by Jer on 2014-05-13 15:51:56