593 (number)

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. [ [http://www.research.att.com/~njas/sequences/?q=A028388&language=english&go=Search 593 in sequence A028388 from Sloane's] ] 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. [ [http://nsdl.org/resource/2200/20061219135207684T Calculus Challenge] ] 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).

ources

*Eric W. Weisstein. "Good Prime." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/GoodPrime.html
* [http://primes.utm.edu/curios/page.php/593.html Prime Curios! 593]

References