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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) If you consider the alphabet as an extension of the decimal system (base 36), the difference in the numerically expressed words SIXTY and FOUR is equal to 47180851, which is prime. [Nothdurft] The number 2^{64} + 1 was factored by Landry in 1880. [Kraitchik] Using A = 1, B = 2, ..., Z = 26, the sum of all the letter values in the word names of the numbers from 1 to 64 is a prime (7369). If 0 (whose alphanumeric value is 64) is included, the sum is yet another prime (7433). [Trotter] The smallest power of 2 with no prime neighbor. [Necula] The smallest square that creates two primes if concatenated with its previous and next squares, i.e., 6449, 6481. [Loungrides] The first occurrence of a composite number whose factorization with exponents contains exactly one circular loop on each side of the equals sign (64 = 2^6). [Honaker]
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