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
twothirds of a solution. by Jer)
By the same logic you used for the last digit, can we not determine the thirdtolast digit by considering the 'tens' values for the list of primes some are in the 20s and some in the 50s, giving 2x5 = 10 again for this missing digit.
Making the last three digits 070.

Posted by Matt
on 20111019 12:14:59 