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This is a bit like the projects searching for primes of the form k * 2n -1 except that k can only be 3, thereby boosting the speed of the process.
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I am not sure this is true. k=3 is a real heavy number -- dense but primeful, hopefully...
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Last “positive” result: 3 * 2^1232255 -1 is prime (found on August 30th, 2004)
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Wow, nearly a year
