2081

This number is a prime.

The fifth and largest known prime in the sequence (2^prime(n) + 2^fibonacci(n) + 1) which seems to yield primes only for n=1 (2^2+2^1+1 = 7), n=2 (2^3+2^1+1 = 11), n=3 (2^5+2^2+1 = 37), n=4 (2^7+2^3+1 = 137) and n=5 (2^11+2^5+1 = 2081). [Hasler]