Prime Curios!: 153

153
(another Prime Pages' Curiosity)

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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 (which is prime).

The largest known natural number n such that 2ⁿ does not contain the prime digit 3. It ends with 3, but also with the largest known prime number (53) with this property. [Capelle]