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 Last three digits (Posted on 2011-10-19)
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.

 No Solution Yet Submitted by K Sengupta Rating: 3.0000 (2 votes)

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 two-thirds of a solution. | Comment 1 of 9
`2   3   5   7  11  13  17  19  23  29 31  37  41  43 47  53  59  61  67  71   73  79  83  89  97 Clearly the 2 and 5 make the last digit 10.  Of the others,five end in 1,  seven end in 3, six end in 7, five end in 9.3^7 = 21877^6 ends in 99^5 ends in 97*9*9 ends in 7So the last TWO digits of N are 70.That third digit from the end looks quite a bit more complicated, at least without a computation aid.`

Edited on October 19, 2011, 11:10 am
 Posted by Jer on 2011-10-19 11:08:01

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