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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 'Capelle': (Click here to show all)
The only known multidigit number n such that sigma(n) is the reversal of prime(n). [Capelle] The number of brilliant Harshad (or Niven) numbers in base 10. [Capelle] There are 13 positive numbers n such that n is equal to the number of 2's in the decimal digits of all natural numbers smaller or equal to n. [Capelle] The smallest prime number having exactly one representation as sum of squares greater than one. Note that its reversal is the largest one. [Capelle] There are exactly 13 positive integers that cannot be written as the sum of four hexagonal numbers. Their sum is a prime number whose sum of digits is 13. [Capelle]
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