Number Gossip

(Enter a number and I'll tell you everything you wanted to know about it but were afraid to ask.)

Unique Properties of 1848

  • 1848 is conjectured to be the largest number that can not be represented in the form ab+ac+bc for positive and distinct a, b, c
  • 1848 is the smallest central binomial coefficient n choose n/2 that is divisible by n2
  • 1848 is the smallest number that can be expressed as the difference of the squares of consecutive primes in three distinct ways

Common Properties of 1848

Abundant
Composite
Even
Evil
Practical