57 = 3 x 19. 57 is 111 in base 7. 57 is the sum of the 7th through 12th numbers: 7 + 8 + 9 + 10 + 11 + 12 = 57 . As a semiprime (a product ...

194 = 2 x 97. 194 has a representation as a sum of two squares: 194 = 5 2 + 13 2 . 194 is the smallest number with five representations as ...

271 is a prime number. 269 and 271 form a twin prime pair. 271 is a number that cannot be written as a sum of three squares. 271 is the sum ...

929 is a prime number. 929 is the smallest palindromic prime whose cube can be expressed as the sum of three odd cubes: 929 3 = 69 3 + 447...

799 = 17 x 47. 799 is the smallest number with a composite sum of digits (7 + 9 + 9 = 25) and a prime sum of cubes of digits (7 3 + 9 3 + ...

357 = 3 x 7 x 17. 357 is the only three-digit number such that 2* 357 357 - 1 is prime. 357 is the smallest three-digit number with its dig...

93 = 3 x 31. 93 has the unique representation 93 = 2 2 + 5 2 + 8 2 as a sum of three squares. 93 is 1011101 in base 2 and 333 in base ...

1019 is a prime number. 1019 is the number of twin prime pairs between 10,000 and 100,000. 1019 and 1021 form a twin prime p...

814 = 2 x 11 x 37. 29 circles divide the plane into at most 814 regions. 814 is a value of n such that n ( n + 5) is a palind...

989 = 23 x 43. 989 is the smallest number so that it and its reverse are divisible by 43. 989 is 33131 in base 4 and 12424 in b...

479 is a prime number. Moreover, t he differences between any two of its digits are also prime. 479 is a number that cannot be writte...

506 = 2 x 11 x 23. 506 is a pronic number because it is the product of two consecutive integers: 22 x 23 = 506 . 506 is the sum...

115 = 5 x 23. 115 = 23 x (2 + 3). 115 has a unique representation as a sum of three squares: 3 2 + 5 2 + 9 2 = 115 . 115 is the smalle...

611 = 13 x 47. 611 is a brilliant number . It is a s emiprime (product of two primes) whose prime factors have the same number of decimal ...