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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) The number 301*2^184+1 is the smallest Proth prime with k = 301. [Patterson] Any number (such as 301) with prime factors of the form x*(x+36), where x is a prime ending in 7, will end in ...01. E.g., 301 = (7*43), 901 = (17*53), 2701 = (37*73), 3901 = (47*83), etc.
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