# 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 149

- 149 is the smallest number whose square starts with 3 identical digits: 149
^{2}= 22201 - 149 is the smallest 3-digit prime with distinct nonzero digits such that inserting a zero between any two digits creates a new prime
- 149 is the smallest prime which retains the end (unit) digit of its predecessor (139)
- 149 is the smallest number that is the sum of proper substrings of its reverse: 149 = 1 + 4 + 9 + 94 + 41
- 149 is the smallest twin Ramanujan prime
- 149 is the smallest nontrivial prime (not 2 or 3) that cannot be written as a sum of a power of two and an odd prime power
- 149 is the smallest emirp with only nonprime digits (i.e. 0,1,4,6,8,9)