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(another Prime Pages' Curiosity)
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+ 444^444 - 444! + 444*444 - 444/444 is a 1176-digit prime. [Firoozbakht]

+ 444^4 + 444^4 + 444^4 - 1 is prime. [Patterson]

+ 444^444 + 5 is prime. Note that 444 is the only known number m such that m^m + 5 is prime. [Firoozbakht]

+ 444 = prime(4+4+4)*(4+4+4). It is the only repdigit number with this property. [Firoozbakht]

(There is one curio for this number that has not yet been approved by an editor.)




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