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interprime n.  and  Ruth-Aaron pair

First numbers that belong to both sets:

6, 9, 15, 50, 105, 154, 370, 714, 2601, 2783, 5560, 8280, 8464, 8855, 21183, 28810, 43215, 43680, 53193, 57075, 72500, 75141, 89980, 95710, 109940, 113283, 141489, 143623, 172773, 173163, 174096, 215391, 224256, 296751, 380964, 404973, 421819, 441211, 508563, 537916, 557535, 587265, 732088, 740727, 742854, 821272, 838935, 839375, 842127, 844864, 859408, 911538, 927774, 965095, 996557, 1062874, 1065843, 1095316, 1240965, 1267920, 1275547, 1302093, 1329129, 1428858, 1459863, 1496781, 1497466, 1600962, 1647099, 1799940, 1806367, 1807906, 1818227, 1864056, 1903984, 1939626, 1958319, 2024868, 2042951, 2123666, 2355886, 2407321, 2442185, 2602449, 2675295, 2744288, 2854740, 3016695, 3046743, 3056976, 3155780, 3206343, 3230073, 3369764, 3414888, 3438522, 3457497, 3580407, 3665136, 3691449, 3696380, 3790956, 3889343, 3944506, 3950120, 3975060, 3978260, 4010181, 4379617, 4389540, 4449249, 4682364, 4723780, 4832664, 4874222, 4929800, 4970224, 5034550, 5517316, 5623575, 5705168, 5932508, 5970624, 6196294, 6262319, 6287867, 6473350, 6476148, 6608127, 6689333, 6705796, 7073113, 7267029, 7706049, 7814888, 8246464, 8496015, 8533851, 8596608, 8771060, 8818146, 9018426, 9178976, 9249751, 9423616, 9596069, 9780237, 9940610, 9981936, 10261719, 10774226, 10812824, 10974127, 11174405, 11261040, 11390267, 12013575, 12117171, 12120202, 12202079, 12277455, 12288570, 12728491, 12905718, 13107009, 13377890, 13701480, 13819896, 13867665, 13909544, 14040282, 14138361, 14159374, 14185161, 14330001, 14416608, 14478543, 14510320, 14535675, 14606424, 14650899, 14760963, 14783448, 14852091, 15021930, 15364804, 15374572, 15380575, 15805376, 16020873, 16233318, 16340050, 16637508, 16813649, 16832964, 17247153, 17383690, 17499699, 17657289, 17962686, 17968356, 18069001, 18071766, 18110790, 18169864, 18175176, 18564187, 18594626, 18781899, 18823820, 19191920, 19333144, 19699408, 19756816, 19781104, 19784811, 20218915, 20394805, 20444724, 20679546, 20761776, 20823555, 20939439, 21109375, 21173400, 21234645, 22183725, 22273126, 22380509, 22858688, 23191266, 23327233, 23607570, 23616696, 23798298, 23826236, 24051405, 24689147, 24891450, 25177184, 25332603, 25651813, 25841680, 25931424, 25972198, 26101069, 26491338, 26517636, 26659230, 27278805, 27318315, 28667842, 28726838, 29056456, 29171845, 29895046, 30213075, 30866121, 30957807, 31377984, 31598139, 31810625, 32106753, 32277465, 32530926, 32554225, 32892620, 32996095, 33175016, 33423159, 33442110, 33625914, 34195279, 34329546, 34416524, 35080864, 35627091, 35742041, 36112625, 36227811.

Some larger examples :