Find a Pattern.
\(2^1+1 = 3\) ... prime
\(2^2+1 = 5\) ... prime
\(2^3+1 = 9\) ... 3
\(2^4+1 = 17\) ... prime
\(2^5+1 = 33\) ... 3,11
Observations or conjectures from this data?
Can you generalize what's happening?
Continue for five more rows. Revise?
2¹+1 3 prime. 2²+1 5 prime. 2³+1 9 3. 2⁴+1 17 prime. 2⁵+1 33 3,11
— David Marain (@dmarain) September 27, 2020
Obs, conj's from this data? Continue for five more rows. Revise?
++