593 (number)

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593 is the natural number following 592 and preceding 594.

Cardinal Five hundred [and] ninety-three
Ordinal 593rd
Factorization prime
Roman numeral DXCIII
Binary 1001010001
Octal 1121
Hexadecimal 251

[edit] In mathematics

593 is an odd number. It is a prime number, an example of what Erdős and 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"[citation needed] 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).

[edit] Sources