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Near Goldbach Alphametics II (Posted on 2011-01-07) Difficulty: 3 of 5
(A) In this alphametic, each small letter in bold represents a different base x digit from 0 to x-1. None of the numbers can contain any leading zero.

prime + prime = number, whenever each of prime and number 1 is a prime number.

Determine the minimum value of x for which this is possible. What is the next smallest value of x?

(B) Keeping all the other conditions in (A) unaltered, if number + 1 is a prime number (rather than number 1), then what is the minimum value of x for which this is possible? What is the next smallest value of x?

No Solution Yet Submitted by K Sengupta    
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Solution Number+1 Answer Comment 1 of 1
The first answer I found for part B is in base 13: 
prime = a965b(base 13) = 306473, number = 185cb9(base 13) = 612946
306473 and 612947 are both prime.

Edited on April 22, 2017, 8:04 pm
  Posted by Brian Smith on 2017-04-22 19:52:18

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