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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) 1013 Productions is the company owned and managed by Chris Carter, who created The XFiles. [Blanchette] There are exactly 1013 ways ten people can line up so that only one person has a taller person in front of him. [Gudipati] A free neutron decays with a halflife of about 1013 seconds into a proton, electron and antineutrino. [Hughes] The average sealevel pressure on Earth is about 1013 millibars. [Webb] 2^{1013} + 3^{1013} + 5^{1013} + 7^{1013} is prime. [Opao] The prime sum of p(i), where i takes the values of the 11 first Fibonacci numbers. [Gallardo] In Marcus du Sautoy's book The Music of the Primes, while discussing Bertrand's postulate, he states that there are actually quite a lot of primes between 1009 and 2018, the first being 1013. Virginia Intermont College (alma mater of one of the authors) was located at the triadic prime address 1013 Moore Street in Bristol, Virginia. The smallest 4digit prime p whose the reversal of square is equal to the square of the reversal of p, i.e., 1013^2 = 1026169 and R(1013^2) = 9616201 = 3101^2. [Loungrides] 1013 is the smallest 4digit prime that starts a run of seven consecutive primes where between any two successive primes, exactly one digit changes (i.e., 1013, 1019, 1021, 1031, 1033, 1039, 1049). Can you find a run of more than seven consecutive primes where between any two successive primes exactly one digit changes? [Loungrides]
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