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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) Arthur C. Clarke wrote a book entitled 3001: The Final Odyssey. [Hartley] The 25th Fibonacci number (75025) divided by 25 is 3001. Are there any other cases in which F(n)/n is a prime number? [Gaydos] The only nontitanic prime of form x*10^x+1 for x a prime, (x=3). [Loungrides]
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