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(just those submitted by Capelle)
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GIMPS has discovered a new largest known prime number: 282589933-1 (24,862,048 digits)

Just showing those entries submitted by 'Capelle': (Click here to show all)

Photo credit: Patrick Kik
+ The number (coincidentally prime) of known positive integers which are not the sum of two semiprimes. [Capelle]

+ 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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