2's and Odds

Number Theory Level 2

Half of a sum of 3 (integer) powers of 2 is equal to $D$

$\Large \frac{2^{a}+2^{b}+2^{c}}{2}=D$

Can D be a prime number?

Yes No

2 solutions

X X
Apr 25, 2018

$\frac{2^1+2^2+2^3}{2}=7$

Chase Marangu
Apr 27, 2018

$\frac{2^0+2^0+2^1}{2}=2$ more of a simple example than a proof of an underlying concept