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The largest known Gaussian Mersenne prime is (1+i)^12037931 (found
September 2006 by B. Jaworski). The real and imaginary
parts of this behemoth both have 180989 digits and its
norm (the square root of its absolute value) is a 362378digit
prime. There are 36 other Gaussian Mersenne primes known. [Caldwell]
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