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EXAMPLE
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The sequence of terms together with their prime indices begins:
27: {2,2,2} 637: {4,4,6} 1183: {4,6,6}
63: {2,2,4} 639: {2,2,20} 1251: {2,2,34}
117: {2,2,6} 711: {2,2,22} 1281: {2,4,18}
147: {2,4,4} 741: {2,6,8} 1359: {2,2,36}
171: {2,2,8} 777: {2,4,12} 1421: {4,4,10}
261: {2,2,10} 801: {2,2,24} 1443: {2,6,12}
273: {2,4,6} 903: {2,4,14} 1467: {2,2,38}
333: {2,2,12} 909: {2,2,26} 1491: {2,4,20}
343: {4,4,4} 931: {4,4,8} 1557: {2,2,40}
387: {2,2,14} 963: {2,2,28} 1629: {2,2,42}
399: {2,4,8} 1017: {2,2,30} 1653: {2,8,10}
477: {2,2,16} 1083: {2,8,8} 1659: {2,4,22}
507: {2,6,6} 1113: {2,4,16} 1677: {2,6,14}
549: {2,2,18} 1131: {2,6,10} 1729: {4,6,8}
609: {2,4,10} 1179: {2,2,32} 1737: {2,2,44}
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