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Thrice three is nine (Posted on 2010-09-11) Difficulty: 3 of 5
Three 3-digit primes, all digits being distinct, sum up to a three digit number.
Can you find this number?

Please provide answers to two distinct versions of the problem:
a. No zeroes allowed .
b. Zeroes, non-leading of course, can appear on both sides of the equation.

No Solution Yet Submitted by Ady TZIDON    
Rating: 4.5000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts re(2): No Subject Comment 5 of 5 |
(In reply to re: No Subject by Ady TZIDON)

The sum 999 is possible with numbers being 149, 263 and 587.

If there is a single sol. then i guess the case with sum 909 is not possible. but its becoming too dificult to check !


The case with zeroes allowed introduces further problems which make other complications. Zeroes can only be in the middle place. As in the end they wont make a prime and in the start they wont make a three digit number.

The first digits still have to be 1,2,4  or 1,2,5.

Also last digit of the 3 numbers have to be 3, 7 and 9. Hence the sum of the three primes also has last digit 9.

Edited on September 19, 2010, 6:08 pm
  Posted by Vishal Gupta on 2010-09-19 18:08:05

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