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EXAMPLE
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The sequence of terms together with their prime indices begins:
4: {1,1} 33: {2,5} 64: {1,1,1,1,1,1}
6: {1,2} 34: {1,7} 65: {3,6}
8: {1,1,1} 35: {3,4} 66: {1,2,5}
9: {2,2} 38: {1,8} 69: {2,9}
10: {1,3} 39: {2,6} 70: {1,3,4}
14: {1,4} 42: {1,2,4} 72: {1,1,1,2,2}
15: {2,3} 46: {1,9} 74: {1,12}
16: {1,1,1,1} 48: {1,1,1,1,2} 77: {4,5}
21: {2,4} 49: {4,4} 78: {1,2,6}
22: {1,5} 51: {2,7} 80: {1,1,1,1,3}
25: {3,3} 55: {3,5} 81: {2,2,2,2}
26: {1,6} 57: {2,8} 82: {1,13}
27: {2,2,2} 58: {1,10} 84: {1,1,2,4}
30: {1,2,3} 60: {1,1,2,3} 85: {3,7}
32: {1,1,1,1,1} 62: {1,11} 86: {1,14}
For example, the factorizations of 48 with (2) and (3) equal are: (2*2*2*6), (2*2*3*4), (2*4*6), (3*4*4), but since none of these has length 2, the sequence contains 48.
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