I suppose that 2 + 3 = 5 is an example, even though the 5 is a degenerate repdigit number. A more proper solution is 158730158730158647 + 158730158730158681 + 158730158730158699 + 158730158730158723 + 158730158730158759 + 158730158730158783 + 158730158730158819 = 1111111111111111111, that sum being one of the few known repunit primes.
What else?
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