3 + 17 13+7 19+1
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2, 3, and 13 are all prime numbers and their sum is equal to 18.
I do not understand the question because there are 18 pairs of palidromic numbers that sum to 585.
The numbers are: 7 and 13
19 & 17
100. The first nine prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, and 23.