Conjecture no. 46 On a special pair of twin primes.

Is there a pair of prime numbers such that both n x 2^n +1 and n x 2^n -1 are prime if n is also prime? I conjecture that there is not such a pair.

As always I welcome the readers to prove or disprove this conjecture.

https://en.wikipedia.org/wiki/Woodall_number

https://en.wikipedia.org/wiki/Cullen_number

Thank you,

Nunghead