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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) Every positive integer is the sum of at most nine cubes. Only 23 and 239 require all nine! Waring's problem (1770) asks: if given k, is there some number g(k) for which every positive integer can be written as the sum g(k) (or fewer) kth powers? For example, g(3) = 9 and g(4) = 19. In 1909, Hilbert proved the answer was yes.
Submitted: 19990902 18:40:00; Last Modified: 20080731 01:06:21.
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