Alisa T.
asked • 01/13/23Find all natural numbers such that 20^n+16^n-3^n-1 is divisible by 323
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1 Expert Answer
Bradford T. answered • 01/13/23
Tutor
4.9
(29)
Retired Engineer / Upper level math instructor
Running out a few values of n to find 20n+16n-3n-1 ≡ 0 mod 323, appears n is an even Natural number starting with 2.
In other words, n must satisfy
20n+16n-3n-1 = 323m
where 323m means a whole number multiple of 323
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Mark M.
Since n is varialbe the number of numbers that satisfy is unlimited.01/13/23