Search a number
de Polignac n.  and  balanced n.

First numbers that belong to both sets:

149, 809, 905, 2203, 3149, 3341, 3353, 3665, 3845, 6791, 6883, 7151, 7267, 7343, 7517, 7799, 7811, 7841, 7913, 8087, 8159, 8287, 8363, 8399, 8411, 8429, 8527, 8563, 8621, 8861, 8915, 8921, 9101, 9307, 9371, 9457, 9517, 9557, 9613, 9641, 9929, 10021, 10121, 10253, 10327, 10357, 10379, 10391, 10451, 10511, 10553, 10697, 10781, 10949, 11015, 11039, 11081, 11105, 11141, 11239, 11279, 11317, 11335, 11347, 11411, 11435, 11437, 11533, 11541, 11593, 11729, 11789, 11801, 11857, 11909, 11921, 12233, 12427, 12431, 12479, 12517, 12595, 12877, 12941, 13001, 13091, 13093, 13217, 13351, 13409, 13451, 13469, 13589, 13603, 13735, 13859, 13897, 13901, 13961, 14047, 14051, 14077, 14141, 14231, 14375, 14381, 14383, 14407, 14437, 14473, 14489, 14531, 14533, 14605, 14611, 14917, 14921, 14981, 15013, 15041, 15113, 15121, 15359, 15373, 15401, 15521, 15641, 15719, 15809, 15853, 16405, 16543, 16783, 16867, 17021, 17039, 17257, 17593, 17735, 17773, 17827, 17849, 18391, 18487, 18551, 23935, 33149, 33403, 33763, 33917, 33967, 34169, 34259, 34421, 34483, 34525, 34537, 34603, 34631, 34939, 35051, 35189, 35305, 35437, 35443, 35485, 35947, 35957, 36073, 36149, 36209, 36457, 36493, 36577, 36677, 37237, 37349, 37469, 37483, 37841, 38105, 38159, 38173, 38189, 38429, 38443, 38483, 38489, 38501, 38549, 38999, 39029, 39239, 39251, 39269, 39307, 39393, 39481, 39509, 39817, 40037, 40049, 40105, 40199, 40213, 40259, 40289, 40323, 40769, 41309, 41323, 41533, 41639, 41771, 41953, 42157, 42169, 42379, 42763, 42883, 43151, 43187, 43207, 43417, 43565, 43571, 43603, 43619, 43633, 43873, 44077, 44083, 44107, 44171, 44369, 44593, 44833, 45103, 45389, 45583, 45613, 45733, 45893, 46133, 46181, 46193, 46229, 46243, 46661, 47429, 47441, 47497, 48673, 49469, 49559, 49807, 49837, 49849, 49897, 50129, 50207, 50297, 50459, 50471, 50489, 50509, 50579, 50741, 50801, 50969, 51011, 51041, 51479, 51509, 51531, 51557, 51569, 51739, 51763, 51817.

Some larger examples :