593 (number)

← 592 594 → 593
List of numbers — Integers ← 0 100 200 300 400 500 600 700 800 900 →
Cardinal	Five hundred [and] ninety-three
Ordinal	593rd (Five hundred [and] ninety-third)
Factorization	prime
Roman numeral	DXCIII
Binary	10010100012
Octal	11218
Duodecimal	41512
Hexadecimal	25116

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. 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. 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

• Eric W. Weisstein. "Good Prime." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/GoodPrime.html
• Prime Curios! 593

See also

• List of prime numbers