Wednesday, 22 April 2026

A + B = C Numbers Revisited

I posted about A + B = C numbers in an eponymous post on the 25th May 2025. However, I only listed the C numbers and did not include the A and B numbers. This is what OEIS A203024 does as well:


OEIS A203024
: n
umbers \(a = b + c\) where \(a\), \(b\), and \(c\) contain the same decimal digits.

For that reason, a number like \( \textbf{28143}\) (my diurnal age today) is missed because it not a sum but part of a sum:$$14238 + \textbf{28143} = 42381$$Since I normally only look at numbers up to 40000, I miss 28143. However, I now addressed that deficiency and incorporated a search into my daily number analysis that will identify A, B and C numbers in the range up to 40000. Here is a list of such numbers above 28000 and below 40000 that I'll call A + B = C numbers (permalink):

28035, 28107, 28134, 28143, 28314, 28341, 28431, 28503, 28530, 28539, 28593, 28746, 28935, 28953, 29016, 29106, 29160, 29214, 29286, 29358, 29367, 29376, 29385, 29457, 29475, 29502, 29520, 29538, 29547, 29574, 29601, 29610, 29637, 29664, 29691, 29736, 29745, 29754, 29763, 29853, 29961, 30168, 30186, 30267, 30276, 30285, 30465, 30627, 30654, 30762, 30825, 31077, 31257, 31275, 31428, 31482, 31509, 31590, 31698, 31752, 31824, 31905, 31950, 31968, 32076, 32148, 32175, 32184, 32481, 32607, 32670, 32697, 32706, 32760, 32769, 32796, 32814, 32850, 32895, 32967, 32976, 32985, 34065, 34128, 34182, 34218, 34281, 34497, 34569, 34578, 34587, 34650, 34659, 34695, 34749, 34758, 34785, 34812, 34821, 34857, 34875, 34947, 34965, 35001, 35010, 35082, 35100, 35109, 35127, 35190, 35289, 35298, 35703, 35712, 35730, 35784, 35874, 35901, 35910, 35928, 36027, 36072, 36198, 36207, 36270, 36279, 36297, 36702, 36720, 36792, 36819, 36918, 36927, 36972, 37026, 37062, 37125, 37206, 37260, 37296, 37305, 37350, 37449, 37494, 37503, 37512, 37521, 37530, 37584, 37602, 37620, 37629, 37692, 37854, 37926, 37962, 38124, 38142, 38214, 38241, 38412, 38421, 38529, 38574, 38619, 38754, 38925, 38952, 39105, 39150, 39267, 39276, 39285, 39447, 39501, 39510, 39627, 39672, 39726, 39744, 39762, 39852

The next such number for me is \( \textbf{28314}\) and it occurs as both an A and a B number:$$\begin{align} 13482 + 14832 = \textbf{28314}\\13824 + \textbf{28314} = 42138 \end{align}$$

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