145
This number is a composite.
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145 is the smallest number that occurs as the digit sum of
both (2p−1)ᵖ⁻¹ + (p−1)ᵖ and (2p−1)ᵖ⁻¹ − (p−1)ᵖ for some
prime p. For p = 19, these are 37¹⁸ ± 18¹⁹, and both have a
digit sum of 145. Curiously, 145 is also the digit sum of
both 37¹⁹ and 37¹⁹ + 18¹⁹. [Ahmed]
Submitted: 2026-06-21 04:29:34; Last Modified: 2026-06-21 12:26:21.
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