A0945335: Illustration of initial terms ======================================== n A0945335(n) #{.. primes in A0945335(n) ..} = A039995(A0945335(n)) ----- ----------- ------------------------------ -------------------- 0: 1, #{} = 0 1: 2, #{2} = 1 2: 13, #{13, 3} = 2 3: 23, #{23, 3, 2} = 3 4: 113, #{113, 13, 11, 3} = 4 5: 131, #{131, 31, 13, 11, 3} = 5 6: 137, #{137, 37, 17, 13, 7, 3} = 6 7: 1013, #{1013, 113, 103, 101, 13, 11, 3} = 7 8: 1031, #{1031, 131, 103, 101, 31, 13, 11, 3} = 8 9: 1273, #{173, 127, 73, 23, 17, 13, 7, 3, 2} = 9 10: 1237, #{1237, 137, 127, 37, 23, 17, 13, 7, 3, 2} = 10 11: 1379, #{379, 179, 139, 137, 79, 37, 19, 17, 13, 7, 3} = 11 12: 6173, #{6173, 673, 617, 613, 173, 73, 67, 61, 17, 13, 7, 3} = 12 13: 10139, #{10139, 1039, 1019, 1013, 139, 113, 109, 103, 101, 19, 13, 11, 3} = 13 14: 10193, #{10193, 1193, 1093, 1019, 1013, 193, 113, 109, 103, 101, 19, 13, 11, 3} = 14 15: 10379, #{1039, 379, 179, 139, 137, 109, 107, 103, 79, 37, 19, 17, 13, 7, 3} = 15 16: 10397, #{1097, 1039, 397, 197, 139, 137, 109, 107, 103, 97, 37, 19, 17, 13, 7, 3} = 16 17: 10937, #{10937, 1097, 1093, 937, 197, 193, 137, 109, 107, 103, 97, 37, 19, 17, 13, 7, 3} = 17 18: 12397, #{1297, 1237, 397, 239, 197, 139, 137, 127, 97, 37, 29, 23, 19, 17, 13, 7, 3, 2} = 18 19: 12379, #{12379, 1279, 1237, 379, 239, 179, 139, 137, 127, 79, 37, 29, 23, 19, 17, 13, 7, 3, 2} = 19 20: 36137, #{36137, 3637, 3617, 3613, 3137, 617, 613, 367, 337, 317, 313, 137, 67, 61, 37, 31, 17, 13, 7, 3} = 20 21: 36173, #{6173, 3673, 3617, 3613, 673, 617, 613, 373, 367, 317, 313, 173, 73, 67, 61, 37, 31, 17, 13, 7, 3} = 21 22: 101397, #{10139, 1097, 1039, 1019, 1013, 397, 197, 139, 137, 113, 109, 107, 103, 101, 97, 37, 19, 17, 13, 11, 7, 3} = 22 23: 102371, #{10271, 2371, 1237, 1231, 1031, 1021, 271, 137, 131, 127, 107, 103, 101, 71, 37, 31, 23, 17, 13, 11, 7, 3, 2} = 23 24: 101937, #{10937, 10193, 1193, 1097, 1093, 1019, 1013, 937, 197, 193, 137, 113, 109, 107, 103, 101, 97, 37, 19, 17, 13, 11, 7, 3} = 24 25: 102973, #{12973, 10973, 10273, 1973, 1297, 1097, 1093, 293, 197, 193, 173, 127, 109, 107, 103, 97, 73, 29, 23, 19, 17, 13, 7, 3, 2} = 25 26: 103917, #{10391, 3917, 1097, 1091, 1039, 1031, 397, 317, 197, 191, 139, 137, 131, 109, 107, 103, 101, 97, 37, 31, 19, 17, 13, 11, 7, 3} = 26 27: 106937, #{106937, 16937, 10937, 1697, 1693, 1637, 1097, 1093, 1069, 1063, 937, 197, 193, 167, 163, 137, 109, 107, 103, 97, 67, 37, 19, 17, 13, 7, 3} = 27 28: 109371, #{10937, 9371, 1931, 1097, 1093, 1091, 1031, 971, 937, 197, 193, 191, 137, 131, 109, 107, 103, 101, 97, 71, 37, 31, 19, 17, 13, 11, 7, 3} = 28 29: 109739, #{19739, 10979, 10973, 10939, 10739, 9739, 1979, 1973, 1097, 1093, 1039, 739, 199, 197, 193, 179, 173, 139, 109, 107, 103, 97, 79, 73, 19, 17, 13, 7, 3} = 29 30: 123797, #{12379, 12377, 3797, 2797, 2377, 1297, 1279, 1277, 1237, 797, 397, 379, 277, 239, 197, 179, 139, 137, 127, 97, 79, 37, 29, 23, 19, 17, 13, 7, 3, 2} = 30 31: 123917, #{23917, 12917, 12391, 3917, 2917, 1297, 1291, 1237, 1231, 1217, 397, 317, 239, 197, 191, 139, 137, 131, 127, 97, 37, 31, 29, 23, 19, 17, 13, 11, 7, 3, 2} = 31 32: 123719, #{123719, 23719, 12379, 3719, 2719, 2371, 1319, 1279, 1237, 1231, 719, 379, 271, 239, 179, 139, 137, 131, 127, 79, 71, 37, 31, 29, 23, 19, 17, 13, 11, 7, 3, 2} = 32 33: 346137, #{36137, 34613, 4637, 3637, 3617, 3613, 3467, 3463, 3461, 3413, 3137, 617, 613, 467, 463, 461, 367, 347, 337, 317, 313, 137, 67, 61, 47, 43, 41, 37, 31, 17, 13, 7, 3} = 33 34: 193719, #{93719, 19379, 19319, 9719, 9371, 9319, 3719, 1979, 1931, 1319, 971, 937, 919, 719, 379, 199, 197, 193, 191, 179, 139, 137, 131, 97, 79, 71, 37, 31, 19, 17, 13, 11, 7, 3} = 34 35: 346173, #{34673, 34613, 6173, 4673, 3673, 3617, 3613, 3467, 3463, 3461, 3413, 673, 617, 613, 467, 463, 461, 373, 367, 347, 317, 313, 173, 73, 67, 61, 47, 43, 41, 37, 31, 17, 13, 7, 3} = 35 36: 1009379, #{109379, 100937, 100379, 19379, 10979, 10939, 10937, 10099, 10093, 10079, 10039, 10037, 1979, 1097, 1093, 1039, 1009, 937, 379, 199, 197, 193, 179, 139, 137, 109, 107, 103, 97, 79, 37, 19, 17, 13, 7, 3} = 36 37: 1012739, #{101279, 101273, 12739, 11279, 11273, 11239, 10739, 10273, 10139, 1279, 1129, 1123, 1039, 1019, 1013, 739, 239, 179, 173, 139, 127, 113, 109, 107, 103, 101, 79, 73, 29, 23, 19, 17, 13, 11, 7, 3, 2} = 37 38: 1016937, #{106937, 101693, 16937, 10937, 10193, 10169, 10163, 1697, 1693, 1637, 1193, 1163, 1097, 1093, 1069, 1063, 1019, 1013, 937, 197, 193, 167, 163, 137, 113, 109, 107, 103, 101, 97, 67, 37, 19, 17, 13, 11, 7, 3} = 38 39: 1019739, #{101939, 19739, 11939, 10979, 10973, 10939, 10739, 10193, 10139, 9739, 1979, 1973, 1193, 1097, 1093, 1039, 1019, 1013, 739, 199, 197, 193, 179, 173, 139, 113, 109, 107, 103, 101, 97, 79, 73, 19, 17, 13, 11, 7, 3} = 39 40: 1025931, #{102931, 102593, 25931, 10531, 10259, 10253, 2593, 2591, 2531, 1931, 1531, 1291, 1259, 1231, 1093, 1091, 1051, 1031, 1021, 593, 293, 251, 193, 191, 151, 131, 109, 103, 101, 59, 53, 31, 29, 23, 19, 13, 11, 5, 3, 2} = 40 41: 1023973, #{1023973, 123973, 102397, 12973, 12373, 10973, 10273, 2393, 1973, 1373, 1297, 1237, 1097, 1093, 1039, 1033, 397, 373, 293, 239, 233, 197, 193, 173, 139, 137, 127, 109, 107, 103, 97, 73, 37, 29, 23, 19, 17, 13, 7, 3, 2} = 41 42: 1023719, #{1023719, 123719, 23719, 12379, 10271, 3719, 2719, 2371, 1319, 1279, 1237, 1231, 1039, 1031, 1021, 1019, 719, 379, 271, 239, 179, 139, 137, 131, 127, 109, 107, 103, 101, 79, 71, 37, 31, 29, 23, 19, 17, 13, 11, 7, 3, 2} = 42 43: 1023917, #{102397, 102317, 23917, 12917, 12391, 10391, 3917, 2917, 1297, 1291, 1237, 1231, 1217, 1097, 1091, 1039, 1031, 1021, 397, 317, 239, 197, 191, 139, 137, 131, 127, 109, 107, 103, 101, 97, 37, 31, 29, 23, 19, 17, 13, 11, 7, 3, 2} = 43 44: 1029731, #{1029731, 102931, 12973, 10973, 10273, 10271, 2971, 2731, 1973, 1931, 1297, 1291, 1231, 1097, 1093, 1091, 1031, 1021, 971, 293, 271, 197, 193, 191, 173, 131, 127, 109, 107, 103, 101, 97, 73, 71, 31, 29, 23, 19, 17, 13, 11, 7, 3, 2} = 44 45: 1032917, #{103291, 103217, 32917, 13297, 13291, 13217, 12917, 10391, 10321, 3917, 3217, 2917, 1327, 1321, 1297, 1291, 1217, 1097, 1091, 1039, 1031, 1021, 397, 317, 197, 191, 139, 137, 131, 127, 109, 107, 103, 101, 97, 37, 31, 29, 19, 17, 13, 11, 7, 3, 2} = 45 46: 1036913, #{1036913, 103913, 103613, 36913, 13913, 13693, 13691, 13613, 10691, 10613, 10391, 10369, 10313, 3691, 3613, 1913, 1693, 1613, 1361, 1093, 1091, 1069, 1063, 1061, 1039, 1033, 1031, 1013, 691, 613, 313, 193, 191, 163, 139, 131, 113, 109, 103, 101, 61, 31, 19, 13, 11, 3} = 46 47: 1069317, #{106937, 69317, 16937, 16931, 10937, 10691, 10631, 6917, 6317, 1931, 1697, 1693, 1637, 1097, 1093, 1091, 1069, 1063, 1061, 1031, 937, 691, 631, 617, 317, 197, 193, 191, 167, 163, 137, 131, 109, 107, 103, 101, 97, 67, 61, 37, 31, 19, 17, 13, 11, 7, 3} = 47 48: 1093719, #{109379, 93719, 19379, 19319, 10979, 10939, 10937, 9719, 9371, 9319, 3719, 1979, 1931, 1319, 1097, 1093, 1091, 1039, 1031, 1019, 971, 937, 919, 719, 379, 199, 197, 193, 191, 179, 139, 137, 131, 109, 107, 103, 101, 97, 79, 71, 37, 31, 19, 17, 13, 11, 7, 3} = 48 49: 1234739, #{124739, 123479, 123439, 34739, 23473, 12739, 12479, 12473, 12379, 12373, 12347, 12343, 3739, 2473, 2347, 2339, 1439, 1373, 1279, 1249, 1237, 739, 479, 439, 379, 373, 349, 347, 239, 233, 179, 173, 149, 139, 137, 127, 79, 73, 47, 43, 37, 29, 23, 19, 17, 13, 7, 3, 2} = 49 50: 1203971, #{1203971, 203971, 120397, 120391, 120371, 23971, 12391, 12097, 12071, 12037, 10391, 2971, 2371, 2039, 1297, 1291, 1237, 1231, 1201, 1097, 1091, 1039, 1031, 971, 397, 271, 239, 197, 191, 139, 137, 131, 127, 109, 107, 103, 101, 97, 71, 37, 31, 29, 23, 19, 17, 13, 11, 7, 3, 2} = 50 n = 100, see A205956 for primes in A094535(100) = 39467139 ---------------------------------------------------------- a0945335.txt Feb 02 2012, reinhard.zumkeller@gmail.com