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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) Single Curio View: (Seek other curios for this number) According to the quadratic reciprocity theorem, if p and q are distinct primes of the form 4k+3, then exactly one of the following congruences is solvable in integers: x^2 = p mod q or x^2 = q mod p. [Rupinski]
Submitted: 20030306 22:52:12; Last Modified: 20080130 11:28:00.
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