593 (number)

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← 592 593 594 →
Cardinal five hundred ninety-three
Ordinal 593rd
(five hundred ninety-third)
Factorization prime
Prime yes
Greek numeral ΦϞΓ´
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 (five hundred [and] ninety-three) is the natural number following 592 and preceding 594.

In mathematics[edit]

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 OEISA028388 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[edit]

  1. ^ Search 593 in sequence OEISA028388 from Sloane's
  2. ^ Calculus Challenge

See also[edit]