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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) Let p be a prime number congruent to 3 modulo 4. When p is less than 79: (a) x^2  py^2 = 5 has integer solutions iff p is square modulo 5; (b) px^2  y^2 = 7 has integer solutions iff p is square modulo 7. Curiously, 79 is the smallest p (and the only p less than 223) that does not follow the same rules. [Yosei]
Submitted: 20190111 16:37:07; Last Modified: 20190111 17:05:03.
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