The book is now available! 364
(another Prime Pages' Curiosity)
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GIMPS has discovered a new largest known prime number: 282589933-1 (24,862,048 digits)

+ The first two digits of 364 are the product of the first two primes to the power of the first prime, and the last two digits are the first prime to the product of the first two primes, i.e., 36 = (2*3)^2, and 64 = 2^(2*3). [Raffill]

+ 364 = sigma ( prime(3)^2 + prime(6)^2 + prime(4)^2 ). Note that 364 is the first number with this property and there is only two numbers with this property. [Firoozbakht]

+ pi(364) = 3*6*4. [Firoozbakht]

+ phi(364) - pi(364) = 3*6*4. [Firoozbakht]

(There are 2 curios for this number that have not yet been approved by an editor.)

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