# 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 41

- 41 is the smallest prime expressible as the sum of (at least two) consecutive primes in at least 2 ways
- 41 is the smallest prime that is not a difference between powers of 2 and 3 (submitted by Bruno Haible)
- 41 is the smallest non-palindromic prime which on subtracting its reverse gives a perfect cube (i.e., 41 - 14 = 3
^{3}) - 41 is the smallest half-quartan prime: p = (x
^{4}+ y^{4})/2 - 41 is the smallest number such that the sum of its divisors equals 3 times its reverse (41 + 1 = 3*14)
- 41 is the first century with nine prime years
- 41 is the smallest prime formed from reverse concatenation of two consecutive squares
- 41 is the smallest prime beginning with a composite digit
- 41 is the smallest number that is the sum of three non-negative squares in three ways