## Prime mystery

Submitted by Marianne on June 30, 2014What's the mystery number?

The number *N* represents the first 6 digits of a special number. *N* consists of three prime numbers put side by side. These three prime numbers come *x*th, *y*th and *z*th on the list of primes, where *x*, *y* and *z* are themselves three consecutive primes (for example, *x*, *y* and *z* could be 3, 5 and 7, in which case we'd be looking at the third, fifth and seventh prime numbers). In addition, if *N* is split in the middle into two separate numbers, the prime factors of the left part of *N* add up to its right part. What is *N*? And what is the special number whose first 6 digits it forms?

*This puzzle was contributed by Aziz Inan, Professor of Electrical Engineering at the University of Portland. His own name, when written in capital letters, is a geometric word puzzle. Swap the vowels and turn the consonants 90 degrees and the words have switched places. "My parents didn't plan this," he says. "It's just fun."*

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