Find a Pattern
\(1^4+1 = 5\) ... prime
\(2^4+1 = 20\) ... 10, 2
\(3^4+1 = 85\) ... 5, 17
\(4^4+1 = 260\) ...
Observations or conjectures from this data?
Continue for 10 total rows. Revise?
CHALLENGE: State generalization and prove it!
Have Ss continue pattern to at least 10 rows. 3rd column lists a pair of factors or "Prime". Observations? CHALLENGE: State generalization and prove it! 1 1⁴+4 Prime 2 2⁴+4 10,2 3 3⁴+4 17,5 4 ...@jamestanton @HarMath @johnjoy1966 #MTBoS #Algebra
— David Marain (@dmarain) September 26, 2020
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