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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) Just showing those entries submitted by 'Honaker': (Click here to show all) The third term of the sequence where 2^2*3^3*...*a(n)^a(n) + 1 is prime, a(n) is prime, a(n)>a(n1), and a(n) is minimal. [Honaker]How many terms of the series 1 + 1/3 + 1/4 + ... + 1/11 + 1/13 + ... (which excludes all denominators containing 2) is required to produce a sum greater than 19? [Honaker]
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