Mersenne like Gaussian Primes

[Ed Pegg]

I think I discovered an analog to Gaussian-Mersenne primes

http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?An
um=057429

2,3,5,7,11,19,29,47,73,79,113,151,157,163,167,239,241,283,
353,367,379,457,997,1367,3041,10141,14699,27529,49207,77291,
85237,106693,160423,203789,364289

These are primes of the form (1+i)^n - 1 .  (1+i)^4 - 1, -5,  is also prime.

I took a look at primes of the form (1+i)^n + I, and thought it interesting
enough to list.

2,3,4,6,7,8,11,14,16,19,38,47,62,79,151,163,167,214,239,254,
283,367,379,1214,1367,2558,4406

--Ed