Monday, October 26, 2009

2357

2357 is a prime number.

2357 is the smallest prime that contains all of the prime digits.

2357 has a representation as a sum of two squares: 2357 = 262 + 412.

2357 is the hypotenuse of a primitive Pythagorean triple: 23572 = 10052 + 21322.

22 + 33 + 55 + 77 is prime.

2357 is the sum of consecutive primes in at least two ways: 773 + 787 + 797 = 2357 and 461 + 463 + 467 + 479 + 487 = 2357.

2357 is the smallest number whose square begins with 4 identical (prime) digits: 23572 = 5555449.


2357 is the number of pies used in the filming of The Great Race, which has a famous pie-throwing scene.

Source:
Prime Curios!

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