Thursday, June 27, 2013

1459

1459 is a prime number.

1459 is the only four-digit number with the following property: the sum of the first and second digits is the third digit, the sum of the second and third digits is the fourth digit, and the sum of the third and fourth digits is the first two digits.

919 = 13 + 43 + 53 + 93 and 1459 = 93 + 13 + 93. This is the smallest pair of prime numbers that are mutually the sum of the same powers of each others digits. Equivalently, 1459 is the sum of the cubes of the digits of the sum of the cubes of its digits.

1459 is the smallest prime made up of all the distinct digits in which squares of primes end.

1459 = 11 + 444 + 5 + 999.

1459 is a divisor of 599 - 1.

1459 is 2000001 in base 3.


Source: Prime Curios!

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