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(2^101+8)/(16^13+4^14+8)=562949919866881=2^49-2^25+1 It’s in my head.
= 2^3(2^98 + 1)/2^3(2^49 +2^25 + 1) = (2^98 + 1) / (2^49 + 2^25 + 1) = (2^49 + 1)^2 - 2*2^49) / ((2^49 + 1) + 2^25) = ((2^49 + 1)^2 - 2^50) / ((2^49 + 1) + 2^25) = (2^49 + 1) - 2^25 = 2^49 - 2^25 + 1
(4a⁴+1)/(2a²+2a+1) where a=2²⁴multiply top and bottom by (2a²-2a+1)= (4a⁴+1) (2a²-2a+1)/( (2a²+2a+1) (2a²-2a+1)= 2a²-2a+12^29 -2^25+1= 503316481
It can further be simplified.
Which if we solve, the result in only one number is 562,949,919,866,881
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(2^101+8)/(16^13+4^14+8)=562949919866881=2^49-2^25+1 It’s in my head.
= 2^3(2^98 + 1)/2^3(2^49 +2^25 + 1) = (2^98 + 1) / (2^49 + 2^25 + 1) = (2^49 + 1)^2 - 2*2^49) / ((2^49 + 1) + 2^25) = ((2^49 + 1)^2 - 2^50) / ((2^49 + 1) + 2^25) = (2^49 + 1) - 2^25 = 2^49 - 2^25 + 1
(4a⁴+1)/(2a²+2a+1) where a=2²⁴
multiply top and bottom by (2a²-2a+1)
= (4a⁴+1) (2a²-2a+1)/( (2a²+2a+1) (2a²-2a+1)
= 2a²-2a+1
2^29 -2^25+1= 503316481
It can further be simplified.
Which if we solve, the result in only one number is 562,949,919,866,881