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EXAMPLE
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The sequence of terms together with their prime indices begins:
6: {1,2}
60: {1,1,2,3}
840: {1,1,1,2,3,4}
12600: {1,1,1,2,2,3,3,4}
264600: {1,1,1,2,2,2,3,3,4,4}
5821200: {1,1,1,1,2,2,2,3,3,4,4,5}
151351200: {1,1,1,1,1,2,2,2,3,3,4,4,5,6}
The sequence of terms together with their prime signatures begins:
6: (1,1)
60: (2,1,1)
840: (3,1,1,1)
12600: (3,2,2,1)
264600: (3,3,2,2)
5821200: (4,3,2,2,1)
151351200: (5,3,2,2,1,1)
4994589600: (5,4,2,2,2,1)
169816046400: (6,4,2,2,2,1,1)
5943561624000: (6,4,3,3,2,1,1)
225855341712000: (7,4,3,3,2,1,1,1)
8808358326768000: (7,5,3,3,2,2,1,1)
405184483031328000: (8,5,3,3,2,2,1,1,1)
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