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.
(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