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919 = 1^3 + 4^3 + 5^3 + 9^3, and 1459 = 9^3 + 1^3 + 9^3. This is the smallest pair of prime numbers which are mutually the sums of (the same) powers of each others digits. [Hartley]
The only fourdigit prime number such that 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. [Rupinski] The smallest prime made up of all the distinct digits in which squares of primes end. [Beedassy] The largest denominator that the sum of the reciprocals of a number can have is 2520 (2^3 * 3^2 * 5 * 7). The smallest positive integer with this property is 5789 with a sum of reciprocals of digits of 1459/2520. [Gaydos]
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