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EXAMPLE
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The sequence of terms together with their prime indices begins:
1: {} 90: {1,2,2,3} 141: {2,15}
15: {2,3} 91: {4,6} 143: {5,6}
30: {1,2,3} 93: {2,11} 145: {3,10}
33: {2,5} 95: {3,8} 150: {1,2,3,3}
35: {3,4} 99: {2,2,5} 153: {2,2,7}
45: {2,2,3} 102: {1,2,7} 154: {1,4,5}
51: {2,7} 105: {2,3,4} 155: {3,11}
55: {3,5} 110: {1,3,5} 161: {4,9}
60: {1,1,2,3} 119: {4,7} 165: {2,3,5}
66: {1,2,5} 120: {1,1,1,2,3} 170: {1,3,7}
69: {2,9} 123: {2,13} 175: {3,3,4}
70: {1,3,4} 132: {1,1,2,5} 177: {2,17}
75: {2,3,3} 135: {2,2,2,3} 180: {1,1,2,2,3}
77: {4,5} 138: {1,2,9} 182: {1,4,6}
85: {3,7} 140: {1,1,3,4} 186: {1,2,11}
For example, 195 has prime indices {2,3,6}, and 6 is divisible by both 2 and 3, so 195 does not belong to the sequence.
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