The book is now available! 243
(another Prime Pages' Curiosity)
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GIMPS has discovered a new largest known prime number: 282589933-1 (24,862,048 digits)

+ 243 is the first number of the form pq where p & q are a prime pair (i.e., where p & q are prime and q = p + 2). [Hunter]

+ 243 = 3^5 is the sum of three first palindromic primes: 11, 101 and 131. [Gallardo]

+ 243 plus the product of the 243rd Fibonacci number and the 243rd Lucas number is prime. This is the largest such number less than a thousand. [Opao]

+ Smallest odd prime to an odd prime power, which is a sum of distinct primorials: 243 = 4# + 3# + 1# + 0# = 210+30+2+1 = 3^5. [Post]

+ 243^244+2 is the only non-titanic prime of form n^(n+1)+2, where n is a 3-digit number, (n=243). [Loungrides]

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

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