perplexus.info :: Just Math : Summing consecutive factorials

Summing consecutive factorials (Posted on 2018-06-26)

1!=1^2; 1!+2!+3!=3^2
Are there any other sums of n consecutive factorials that sum up to a perfect square?

Either list them all or prove there are none.

No Solution Yet Submitted by Ady TZIDON

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If you don't have to start with 1 ...

| Comment 2 of 7 |

If you have to start with 1, then there are no other solutions as daniel showed.

But if you don't have to start with 1:

4! + 5! = 12^2

I haven't checked for others

Posted by Larry on 2018-06-26 10:13:21

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