593 (number)

593 (five hundred [and] ninety-three) 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.^[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

• 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