Question

If `M & alpha` are twin prime `&alpha+M=7` then the greatest integral value of `N` is
A. `64`
B. `63`
C. `125`
D. `124`

Answer 1

Correct Answer - A::B
If `alpha = 2m m = 65`, If `alpha = 5, m = 5`
`log_(epsilon)N = (2 + beta), log_(2)N = 5 + beta`
`N in [5^(2), 5^(3)) = [25, 125), N in [2^(5), 2^(6)) = [32, 64)`
`:. N_(min) = 124, :. N_(max) = 63`