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4 primes (Posted on 2015-05-06) Difficulty: 3 of 5
There is a prime quadruple i.e. four consecutive primes such that:

a. Each one of them consists of distinct digits.
b. For each one of them the sum of the digits' cubes is a prime number.
c. In the new sequence of 4 primes none has repeated digits.

I believe there is a poor chance of multiple solutions but you are welcome to explore the issue after finding "my" quadruple (all are 3 digit primes).

See The Solution Submitted by Ady TZIDON    
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Comments: ( Back to comment list | You must be logged in to post comments.)
Hints/Tips re: computer solution Comment 3 of 3 |
(In reply to computer solution by Charlie)

      I have decided to use your solution* as an official one.


*slightly abridged.


Edited on March 3, 2016, 11:58 am
  Posted by Ady TZIDON on 2016-03-03 09:53:53

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