Problems & Puzzles: Puzzles

 

 

Problems & Puzzles: Puzzles

Puzzle 1258 42312143

 From the always intgeresting Prime Curios! pages of my friend G. L. Honaker,Jr., I stole, once more, the following curio:

42312143 is the largest prime that can be split into two 4-digit primes, (4231, 2143), each consisting of the first four positive digits. [Loungrides]

Q1. Find ALL the primes of ten digits composed of two times the digits 1, 3, 5, 7, 9 such that it can be split into two 5-digits distinct primes, each consiting of the first five odd positive digits (1, 3, 5, 7 and 9). The order of the integers doesn't matter in any of the three primes.

Q2. Find the smallest and the largest prime of eleven decimal digits (0-9; not necessarily distinct) that can be split into two 5 & 6 digits primes such that the set of the digits of both of these two 5 & 6 digits primes is equal to the set of the digits of the 11 digits initial prime. The order of the integers doesn't matter in any of the three primes.  



 

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