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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.
(There is one curio for this number that has not yet been approved by an editor.)
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