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The smallest prime whose rearrangement of digits gives the famous HardyRamanujan number (1729). [Gupta]
The smallest prime p such that 2^p1 is also a prime that contains the beast number. [Loungrides] The smallest prime number whose digits can be rearranged to make both a square and a cube (7921 = 89^2, 2197 = 13^3). [Gaydos]
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