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aban n.  and  Ruth-Aaron pair

First numbers that belong to both sets:

5, 6, 8, 9, 15, 16, 24, 25, 49, 50, 77, 78, 104, 105, 125, 126, 153, 154, 369, 370, 492, 493, 714, 715, 948, 949, 5000205, 5000206, 25000833, 25000834, 60000226, 60000227, 215000964, 215000965, 268000320, 268000321, 270000867, 270000868, 319000016, 319000017, 409000625, 409000626, 669000219, 669000220, 786000892, 786000893, 848000400, 848000401, 978000196, 978000197, 989000775, 989000776, 1019000307, 1019000308, 1187000224, 1187000225, 1512000278, 1512000279, 1780000592, 1780000593, 2485000357, 2485000358, 3313000493, 3313000494, 3391000556, 3391000557, 3709000862, 3709000863, 3798000151, 3798000152, 3980000798, 3980000799, 4213000656, 4213000657, 4372000600, 4372000601, 4451000255, 4451000256, 4475000933, 4475000934, 5297000124, 5297000125, 5331000230, 5331000231, 5790000320, 5790000321, 5851000624, 5851000625, 5856000604, 5856000605, 6232000879, 6232000880, 6447000329, 6447000330, 6718000419, 6718000420, 6973000574, 6973000575, 7696000179, 7696000180, 8245000484, 8245000485, 8504000789, 8504000790, 9010000979, 9010000980, 9201000738, 9201000739, 10218000994, 10218000995, 10799000004, 10799000005, 11127000076, 11127000077, 11318000771, 11318000772, 11416000560, 11416000561, 11451000921, 11451000922, 11641000959, 11641000960, 11642000223, 11642000224, 11688000581, 11688000582, 13127000670, 13127000671, 13520000844, 13520000845, 13582000639, 13582000640, 13968000143, 13968000144, 14121000665, 14121000666, 15707000616, 15707000617, 16183000536, 16183000537, 16385000647, 16385000648, 16413000076, 16413000077, 17087000129, 17087000130, 17460000117, 17460000118, 17674000036, 17674000037, 17723000348, 17723000349, 17823000293, 17823000294, 17970000615, 17970000616, 18354000521, 18354000522, 19589000735, 19589000736, 20690000184, 20690000185, 21004000245, 21004000246, 21062000288, 21062000289, 21224000058, 21224000059, 21782000976, 21782000977, 22054000955, 22054000956, 22529000199, 22529000200, 22662000519, 22662000520, 23729000107, 23729000108, 24536000568, 24536000569, 25030000160, 25030000161, 25126000625, 25126000626, 25825000175, 25825000176, 25989000146, 25989000147, 26241000624, 26241000625, 26846000544, 26846000545, 26975000366, 26975000367, 27942000495, 27942000496, 28718000081, 28718000082, 28866000387, 28866000388, 30340000140, 30340000141, 30745000460, 30745000461, 31459000530, 31459000531, 33452000989, 33452000990, 34324000580, 34324000581, 36083000149, 36083000150, 37479000064, 37479000065, 37905000675, 37905000676, 38520000375, 38520000376, 39616000830, 39616000831, 39766000743, 39766000744, 40359000975, 40359000976, 40390000623, 40390000624, 42176000679, 42176000680, 42225000511, 42225000512, 42500000343, 42500000344, 43595000496, 43595000497, 43924000328, 43924000329, 45496000340, 45496000341, 46804000992, 46804000993, 47475000411, 47475000412, 47570000334, 47570000335, 48540000256, 48540000257, 48832000415, 48832000416, 49334000649, 49334000650, 49710000408, 49710000409, 50699000167, 50699000168, 51038000747, 51038000748, 51175000484, 51175000485, 51260000208, 51260000209, 51649000143, 51649000144, 51740000018, 51740000019, 52523000054, 52523000055, 52763000769, 52763000770, 52960000104, 52960000105, 55290000495, 55290000496, 56417000067, 56417000068, 56626000793, 56626000794, 56663000159, 56663000160, 56687000084, 56687000085.

Some larger examples :