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Does it continue? An original. (Posted on 2017-10-20) Difficulty: 3 of 5
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    
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  Subject Author Date
re(3): computer solutionJer2017-10-20 15:52:46
re(2): computer solutionCharlie2017-10-20 14:21:05
No Subjectxdog2017-10-20 13:46:50
re(2): computer solutionchun2017-10-20 11:30:50
re: computer solutionJer2017-10-20 11:12:26
Solutioncomputer solutionCharlie2017-10-20 11:04:42
SolutionA Counterexamplechun2017-10-20 08:09:12
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