Wednesday, September 14, 2011

410

410 = 2 x 5 x 41.

410 has two representations as a sum of two squares: 410 = 72 + 192 = 112 + 172. 410 is the smallest number that can be represented as the sum of the squares of distinct primes in two different ways.

410 is 120012 in base 3, 12122 in base 4, and 1124 in base 7. It is 505 in base 9 and 343 in base 11.

410 is the sum of six consecutive primes: 410 = 57 + 61 + 67 + 71 + 73 + 79.

410 is the telephone area code for the Baltimore area of the state of Maryland.

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