N is the product of all the prime numbers less than 100.

Determine the last three digits of N.

*** For an extra challenge, solve this puzzle without the aid of a computer program.

(In reply to re: two-thirds of a solution. by Matt)

It doesnt work this way.  Consider multiplying 2 two-digit numbers.  The digit in the tens place is the sum of two products plus any carries.

That third-from-the-end zero is the sum of many sub-products, not just the product of 2 and 5.

Posted by Jer on 2011-10-19 13:57:49