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153 is equal to the alternating sum and difference of the squares of the integers from 1 to 153's largest prime factor, 17. [Cramer] (153) = (15) x 3!. [Gupta] 153 is the sum of all the integers from 1 to 17 (seventeen is prime). The largest known natural number n such that 2^{n} does not contain the prime digit 3. It ends with 3, but also with the largest known prime number (53) with this property. [Capelle] The smaller member of a Ruthâ€“Aaron pair; since the prime factors of 153 are 3 and 17, and the prime factors of 154 are 2, 7, and 11. Finally, 3 + 17 = 2 + 7 + 11. [Luen]
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