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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) The Prime Constant. Ferenc Adorjan writes: "Decimal expansion of the representation of the sequence of primes by a single real in (0,1). Any monotonic integer sequence can be represented by a real number in (0,1) such a way that in the binary representation of the real, the nth fractional digit is 1 iff n is in the sequence." Post explains: "take the characteristic function of the primes, concatenate the bits, interpret as a binary fraction, and convert to a decimal fraction." [Post]
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