593 (number)

From Wikipedia, the free encyclopedia
Jump to navigation Jump to search
← 592 593 594 →
Cardinalfive hundred ninety-three
Ordinal593rd
(five hundred ninety-third)
Factorizationprime
Primeyes
Greek numeralΦϞΓ´
Roman numeralDXCIII
Binary10010100012
Ternary2102223
Quaternary211014
Quinary43335
Senary24256
Octal11218
Duodecimal41512
Hexadecimal25116
Vigesimal19D20
Base 36GH36

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 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[edit]

  1. ^ Search 593 in sequence OEISA028388 from Sloane's
  2. ^ "Calculus Challenge". Archived from the original on 2011-07-27. Retrieved 2008-06-11.

See also[edit]