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Problems dealing with numbers, digits, and such other purely abstract rubbish.
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> Sequences
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, 7 Comments) Submitted on 2017-10-20 by Jer   
Page 1 of 98   next >>    
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Difficulty: 3 of 5Does it continue? 8: Prime together |
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Difficulty: 3 of 5Does it continue? 5: powers of 2 | Rating: 5.00
Posted on 2017-09-24 by Jer (No Solution Yet, 6 Comments)
Difficulty: 3 of 5Does it continue? 4: Euclid's next prime |
Posted on 2017-09-21 by Jer (No Solution Yet, 3 Comments)
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