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Factorial creates prime (Posted on 2015-06-26)

a. The digits of N! can be rearranged to form a prime.
b. N>2

Find the smallest N, complying with the above statements.

No Solution Yet Submitted by Ady TZIDON

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re: What, no answer yet?

| Comment 4 of 5 |

(In reply to What, no answer yet? by Ady TZIDON)

OK, I'll bite.

3! = 6. Doesn't work.

If N > 3 then N! is divisible by 3, so the sum of its digits is divisible by 3, before and after rearrangement, so any number formed by rearranging its digits is still divisible by 3.

Thus, no qualifying N exists.

Posted by Steve Herman on 2015-07-03 13:27:25

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