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 Does it continue? An original. (Posted on 2017-10-20)
2!+2=4=22
3!+3=9=32
4!+1=25=52
5!+1=121=112
6!+9=729=272
7!+1=5041=712
8!+81=40401=2012

In the above examples, the number that must be added to each factorial to reach the first perfect square beyond it is itself a perfect square. (With the exception of 2! and 3!)

Make a conjecture about whether the observed pattern continues before you try to prove it or find a counterexample.

 No Solution Yet Submitted by Jer No Rating

Comments: ( You must be logged in to post comments.)
 Subject Author Date re(3): computer solution Jer 2017-10-20 15:52:46 re(2): computer solution Charlie 2017-10-20 14:21:05 No Subject xdog 2017-10-20 13:46:50 re(2): computer solution chun 2017-10-20 11:30:50 re: computer solution Jer 2017-10-20 11:12:26 computer solution Charlie 2017-10-20 11:04:42 A Counterexample chun 2017-10-20 08:09:12

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