593 (number)
| ||||
|---|---|---|---|---|
| Cardinal | five hundred ninety-three | |||
| Ordinal |
593rd (five hundred and ninety-third) | |||
| Factorization | 593 | |||
| Prime | yes | |||
| Roman numeral | DXCIII | |||
| Binary | 10010100012 | |||
| Ternary | 2102223 | |||
| Quaternary | 211014 | |||
| Quinary | 43335 | |||
| Senary | 24256 | |||
| Octal | 11218 | |||
| Duodecimal | 41512 | |||
| Hexadecimal | 25116 | |||
| Vigesimal | 19D20 | |||
| Base 36 | GH36 | |||
593 is the natural number following 592 and preceding 594.
In mathematics
593 is an odd number. It is a prime number, an example of what Paul Erdős and Ernst G. Straus called a Good prime, or a prime whose square is greater than the product of its neighboring two primes. As such it is part of sequence 
A028388 at the On-Line Encyclopedia of Integer Sequences.[1] Justin Smith calls 593 a right prime because it remains prime after dropping any number of digits from the right: 593, 59, and 5 are all prime.[2]
It is a Sophie Germain prime, the sum of seven consecutive primes (71 + 73 + 79 + 83 + 89 + 97 + 101), the sum of nine consecutive primes (47 + 53 + 59 + 61 + 67 + 71 + 73 + 79 + 83), and an Eisenstein prime with no imaginary part.
593 is also notable for being the sum of 92 + 29 (thus a Leyland number).
References
- ↑ Search 593 in sequence A028388 from Sloane's
- ↑ Calculus Challenge
- Eric W. Weisstein. "Good Prime." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/GoodPrime.html
- Prime Curios! 593