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 271
- 271 is the smallest prime so that both its predecessor and successor are divisible by cubes
- 271 is the smallest number sandwiched between two numbers that are products of 5 primes
Rare Properties of 271
The n-th Google number is the first n-digit prime found in the decimal expansion of e.
They are named Google numbers because of the unusual hiring ad that Google put up.
- 2,
- 71,
- 271,
- 4523,
- 74713,
- 904523,
- ...
Common Properties of 271
The number n is deficient if the sum of all its positive divisors except itself is less than n.
Compare with perfect and abundant numbers.
A number is odd if it is not divisible by 2.
Numbers that are not odd are even. Compare with another pair -- evil and odious numbers.
The number n is odious if it has an odd number of 1's in its binary expansion.
Guess what evil numbers are.
A prime is a positive integer greater than 1 that is divisible by no positive integers other than 1 and itself.
Prime numbers are opposite to composite numbers.
A number is said to be square-free if its prime decomposition contains no repeated factors.
A prime number is called a twin prime if there exists another prime number differing from it by 2.