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 Near Goldbach Alphametics (Posted on 2009-06-10)
In the following alphametic equation each capital 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 + PRIME = NUMBER

Determine the minimum positive integer value of x such that PRIME is a prime number.

Bonus Question:

What would have been the minimum positive integer value of x, if each capital letter in bold represented a different base x prime digit from 2 to x-1?

 No Solution Yet Submitted by K Sengupta No Rating

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In base 14:

`                                                    decimal              p   r  i   m  e         n  u   m  b  e   r       prime  number5  13  4  12  9         1  3  12  0  9  13      228713  68613910  9  13  1  3         2  4  1  11  3  9       411421  123426311  13  4  12  9        2  7  12  0  9  13      459209  1377627`
` `

 Posted by Charlie on 2009-06-10 18:55:21

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