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 193
- 193 is the smallest prime number that is equal to the product of the first k primes minus the sum of the first k primes, for some k (193 = 2*3*5*7 - 2 - 3 - 5 - 7)
- 193 is the smallest prime whose fifth power is zeroless pandigital (i.e., containing all digits from 1 to 9)
- 193 is the smallest Francesca-Carlotta prime, i.e. the smallest prime p such that if a Fibonacci-like sequence is formed with the first term equal to the number of digits in p and the second term equal to the sum of the digits in p, then p itself occurs as a term in the sequence