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GIMPS has discovered a new largest known prime number: 282589933-1 (24,862,048 digits)

+ The first four nonzero digits of the sum of the series (1/64 + 1/729 + 1/15625 + 1/117649 + 1/1771561 + 1/4826809), i.e., the sum of the reciprocals of the sixth powers of the primes.




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