The book is now available! 35
(another Prime Pages' Curiosity)
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GIMPS has discovered a new largest known prime number: 282589933-1 (24,862,048 digits)

+ The number of pairs of twin primes less than 1000.

+ The first composite number occurring in Pascal's Triangle whose digit reversal is prime.

+ The product of 35 and 36 has the same prime factors as the product of 4374 and 4375. [Guy]

+ 35 is the smallest product of twin primes of the form (4*k+1, 4*k+3), k>0. [Zumkeller]

+ The number of known even numbers which are not the sum of two twin primes (coming from the same pair or not). [Capelle]

+ 35 can be written as a sum of odd primes in 35 ways, and as a sum of primes in 35 * 5 ways. [Hartley]

+ 35 = 23 + 33, i.e., the sum of the cubes of the first two primes. [Mizuki]

+ 35 is the smallest number formed from two odd primes. It's prime factors are 5 and 7. Note that its digital sum (8) and digital product (15) are each one less than perfect squares. No prime number greater than 3 fits this category. [Storms]

+ The smallest number formed from twin primes and equal to the product of twin primes. [Silva]

+ 2^35+35^3 is the only prime less than a googol of form 2^n+n^3, where n is a composite number, i.e., 2^35+35^3 = 34359781243 (emirp). [Loungrides]

(There are 8 curios for this number that have not yet been approved by an editor.)

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