Special n
Here is the place to post your searchresults for special exponents.
It's like a Constant n Search but i think it's worth an own thread.
For example:
L.Zhou searches for General Mersenne Primes, a prime with an exponent like k=1.
So 755061*2^7568391 is a General Mersenne Prime for M32 (= 2^7568391).
Next:
He also searches for n=2^2^19 = 524288 so 428079*2^5242881 is the first prime.
Another:
The next exponent is the 29th FibonacciNumber (f(n)=f(n1)+f(n2) with f(0)=0, f(1)=1) and he found 3681*2^5142291 as first prime!
Only some examples so you can imagine when posting here.
I'll expand the examples with some results when ready.
