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Search a number
inconsummate n.  and  prime n.

First numbers that belong to both sets:

173, 383, 431, 443, 461, 491, 521, 563, 761, 821, 827, 839, 941, 971, 983, 1049, 1481, 1487, 1493, 1499, 1553, 1571, 1601, 1811, 1871, 1931, 2153, 2207, 2477, 2591, 2609, 2753, 3037, 3041, 3083, 3137, 3221, 3251, 3257, 3307, 3329, 3371, 3581, 3593, 3659, 3677, 3697, 3701, 3719, 3733, 3761, 3767, 3793, 3797, 3803, 3821, 3863, 4049, 4091, 4099, 4127, 4157, 4219, 4241, 4253, 4271, 4273, 4283, 4349, 4373, 4409, 4493, 4597, 4643, 4649, 4793, 4817, 4871, 4919, 4931, 4967, 4973, 5147, 5153, 5231, 5297, 5303, 5309, 5393, 5477, 5507, 5573, 5639, 5881, 5927, 6037, 6053, 6113, 6221, 6389, 6551, 6581, 6637, 6659, 6977, 6997, 7043, 7331, 7487, 7541, 7643, 7649, 8093, 8147, 8171, 8231, 8543, 8597, 8609, 8663, 8693, 8741, 8753, 8783, 8807, 8819, 8837, 8933, 9041, 9137, 9221, 9257, 9293, 9323, 9341, 9371, 9419, 9437, 9551, 9587, 9743, 9749, 9851, 9887, 10037, 10181, 10259, 10331, 10337, 10357, 10607, 10847, 10853, 10937, 11057, 11087, 11261, 11483, 11491, 11549, 11597, 11777, 11927, 12037, 12041, 12107, 12149, 12437, 12641, 12653, 12671, 13037, 13217, 13259, 13697, 13709, 13997, 14033, 14051, 14153, 14177, 14207, 14321, 14327, 14369, 14387, 14537, 14591, 14621, 14627, 14657, 14699, 14717, 14747, 14759, 14771, 14813, 14831, 14843, 14867, 14879, 14891, 14897, 14939, 15053, 15107, 15137, 15149, 15187, 15227, 15299, 15641, 15671, 15737, 15881, 15887, 16001, 16217, 16481, 16661, 16673, 16811, 16937, 16987, 17021, 17027, 17033, 17093, 17207, 17321, 17327, 17387, 17477, 17627, 17657, 17681, 17707, 17737, 17921, 17981, 17987, 18077, 18131, 18143, 18149, 18251, 18257, 18287, 18671, 19037, 19163, 19181, 19237, 19259, 19577, 19709, 19763, 19793, 19853, 19937, 20147, 20177, 20327, 20357, 20369, 20393, 20477, 20507, 20627, 20681, 20717, 20753, 20807, 20921, 20981, 21017, 21059, 21149, 21317, 21401.

Some larger examples :