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EXAMPLE
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The sequence of terms together with the corresponding prime indices of prime indices begins:
1: {} 58: {{},{1,3}} 113: {{1,2,3}}
2: {{}} 61: {{1,2,2}} 122: {{},{1,2,2}}
7: {{1,1}} 71: {{1,1,3}} 131: {{1,1,1,1,1}}
13: {{1,2}} 73: {{2,4}} 133: {{1,1},{1,1,1}}
14: {{},{1,1}} 74: {{},{1,1,2}} 137: {{2,5}}
19: {{1,1,1}} 79: {{1,5}} 139: {{1,7}}
23: {{2,2}} 86: {{},{1,4}} 142: {{},{1,1,3}}
26: {{},{1,2}} 89: {{1,1,1,2}} 146: {{},{2,4}}
29: {{1,3}} 91: {{1,1},{1,2}} 149: {{3,4}}
37: {{1,1,2}} 94: {{},{2,3}} 151: {{1,1,2,2}}
38: {{},{1,1,1}} 97: {{3,3}} 158: {{},{1,5}}
43: {{1,4}} 101: {{1,6}} 161: {{1,1},{2,2}}
46: {{},{2,2}} 103: {{2,2,2}} 163: {{1,8}}
47: {{2,3}} 106: {{},{1,1,1,1}} 167: {{2,6}}
53: {{1,1,1,1}} 107: {{1,1,4}} 173: {{1,1,1,3}}
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