My proffersor gave us all to do this
It it worth 50% of my assessment score this semester but I don't really know how to even go about have been googling it online but still no luck.....
I need details analysis
Conjecture :
The equation 24b= 2(ab+1) has no
integer solutions except when b is prime
and a is odd. For b greater than 2 and
a greater than 0.,
Prove or disprove.
2 answers
Sorry for my typo it is 2^b=2(ab+1)
well, ab+1 must also be a power of 2, so both a and b must be odd.
For the prime part, check Fermat's Little Theorem.
For the prime part, check Fermat's Little Theorem.