The book is now available! 1427
(another Prime Pages' Curiosity)
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GIMPS has discovered a new largest known prime number: 282589933-1 (24,862,048 digits)

+ The smallest four-digit prime such that the following form is also prime: 1427 + 1427 + 1427. [Patterson]

+ The smallest increasing concatenation of 1^1 then 2^2 then...then n^n that is prime, starting with 1. [Patterson]

+ The smallest prime starting with a composite number and followed by its prime factors. [Firoozbakht]

+ There are exactly 1427 amicable pairs whose members have ten or less digits. Note that 1427 itself belongs both to a twin prime pair (1427, 1429) and to a cousin prime pair (1423, 1427). [Beedassy]

+ The smallest prime whose the concatenation of the first two digits is equal to the product of the other digits (14 = 2*7). [Loungrides]

+ The admission number of the celebrated French poet Arthur Rimbaud to the "Hôpital de la Conception" (Marseille), where he had the right leg amputated for osteosarcoma. [Olry]

+ Smallest prime formed by concatenating the self powers of numbers, i.e., 1^1, 2^2 , 3^3, ... . [Sariyar]

+ There are exactly 1427 fours in the first 1427 fourth powers. [Gaydos]

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

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