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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) The smallest prime number which is a sum of distinct multidigit primes beginning and ending with the digit seven: 2281 = 727 + 757 + 797. [Capelle] Index p of the largest known perfect number 2^{p  1}(2^{p}  1) having both a prime subscript (17) and a prime number of digits (1373). [Beedassy] The only known Mersenne prime exponent whose product of digits is a power of two (2*2*8*1 = 2^5). [Arf]
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