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GIMPS has discovered a new largest known prime number: 282589933-1 (24,862,048 digits)

+ Erdös has conjectured that no higher power of the first prime (i.e., 28 = 256) is a sum of distinct powers of 3.

+ 256 = (21701 - 19937) - (23209 - 21701). Note the use of three consecutive Mersenne prime exponents! [Noll]

+ 256 = (2^2^2)^2 is the smallest prime power of a prime power of a prime power of a prime.

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