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EXAMPLE
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The sequence of terms together with their prime indices begins:
1: {} 22: {1,5} 44: {1,1,5}
2: {1} 23: {9} 46: {1,9}
3: {2} 24: {1,1,1,2} 47: {15}
4: {1,1} 25: {3,3} 48: {1,1,1,1,2}
5: {3} 26: {1,6} 49: {4,4}
6: {1,2} 27: {2,2,2} 50: {1,3,3}
7: {4} 28: {1,1,4} 52: {1,1,6}
8: {1,1,1} 29: {10} 53: {16}
9: {2,2} 31: {11} 54: {1,2,2,2}
10: {1,3} 32: {1,1,1,1,1} 56: {1,1,1,4}
11: {5} 34: {1,7} 57: {2,8}
12: {1,1,2} 35: {3,4} 58: {1,10}
13: {6} 36: {1,1,2,2} 59: {17}
14: {1,4} 37: {12} 61: {18}
16: {1,1,1,1} 38: {1,8} 62: {1,11}
17: {7} 39: {2,6} 63: {2,2,4}
18: {1,2,2} 40: {1,1,1,3} 64: {1,1,1,1,1,1}
19: {8} 41: {13} 65: {3,6}
20: {1,1,3} 42: {1,2,4} 67: {19}
21: {2,4} 43: {14} 68: {1,1,7}
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