Friday, April 13, 2012

603

603 = 3 x 3 x 67.

The first 603 digits of 603603 form a 2002-bit prime.

603 is the smallest number n so that n, n + 1, and n + 2 are all the product of a prime and the square of a prime: 603 = 67 x 32; 604 = 151 x 22; 605 = 5 x 112.

6032 = 363609 = (3 - 6 - 3 + 609)2.

603 is 1133 in base 8, 311 in base 14, and 113 in base 24.

Source: Prime Curios!

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