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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) The curve 42x^{2}  y^{2} = 209 contains the 'prime points' (3, 13), (5, 29), (7, 43), and (13, 83). [Buddenhagen] 209 = 11 x 19 is a member of a series n(n + 1)  1 with the property that all terms greater than 1 are divisible by primes of form 10k + 1 or 10k  1, but not 10k + 3 or 10k  3. There is an infinity of pairs x,y where x^{2}  y^{2}  xy = 209 for x, y integer. [McNamara] The smallest composite primorial  1. The number of consecutive composite numbers that follow the prime 20831323, the first prime gap exceeding 200.
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