AMC 10B 2022 (Problem 17)

Number TheoryMedium
One of the following numbers is not divisible by any prime number less than 1010. Which is it?
(A)  2606−1\text{(A)}\;2^{606}-1(B)  2606+1\text{(B)}\;2^{606}+1(C)  2607−1\text{(C)}\;2^{607}-1(D)  2607+1\text{(D)}\;2^{607}+1(E)  2607+3607\text{(E)}\;2^{607}+3^{607}