Friday, July 27, 2012

401

401 is a prime number.

401 is the start of the first occurrence of three consecutive primes using no prime digits: 401, 409, 419.

401 is the sum of seven consecutive primes: 401 = 43 + 47 + 53 + 59 + 61 + 67 + 71. It is also the sum of nine consecutive primes: 401 = 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59 + 61.

401 is a divisor of 204 - 1.

401 has a representation as a sum of two squares: 401 = 12 + 202.

401 is the hypotenuse of a primitive Pythagorean triple: 4012 = 402 + 3992.


401 was the hull number of the RMS Titanic.

Source: Number Gossip

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