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A336735
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Products of elements of A304711.
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1
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1, 2, 4, 6, 8, 10, 12, 14, 15, 16, 18, 20, 22, 24, 26, 28, 30, 32, 33, 34, 35, 36, 38, 40, 44, 45, 46, 48, 50, 51, 52, 54, 55, 56, 58, 60, 62, 64, 66, 68, 69, 70, 72, 74, 75, 76, 77, 80, 82, 84, 85, 86, 88, 90, 92, 93, 94, 95, 96, 98, 99, 100, 102, 104, 106
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OFFSET
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1,2
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COMMENTS
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A304711 lists numbers whose distinct prime indices are pairwise coprime.
First differs from A304711 in having 84.
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LINKS
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EXAMPLE
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The sequence of terms together with their prime indices begins:
1: {} 28: {1,1,4} 52: {1,1,6}
2: {1} 30: {1,2,3} 54: {1,2,2,2}
4: {1,1} 32: {1,1,1,1,1} 55: {3,5}
6: {1,2} 33: {2,5} 56: {1,1,1,4}
8: {1,1,1} 34: {1,7} 58: {1,10}
10: {1,3} 35: {3,4} 60: {1,1,2,3}
12: {1,1,2} 36: {1,1,2,2} 62: {1,11}
14: {1,4} 38: {1,8} 64: {1,1,1,1,1,1}
15: {2,3} 40: {1,1,1,3} 66: {1,2,5}
16: {1,1,1,1} 44: {1,1,5} 68: {1,1,7}
18: {1,2,2} 45: {2,2,3} 69: {2,9}
20: {1,1,3} 46: {1,9} 70: {1,3,4}
22: {1,5} 48: {1,1,1,1,2} 72: {1,1,1,2,2}
24: {1,1,1,2} 50: {1,3,3} 74: {1,12}
26: {1,6} 51: {2,7} 75: {2,3,3}
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MATHEMATICA
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nn=100;
dat=Select[Range[nn], CoprimeQ@@PrimePi/@First/@FactorInteger[#]&];
facsusing[s_, n_]:=If[n<=1, {{}}, Join@@Table[Map[Prepend[#, d]&, Select[facsusing[Select[s, Divisible[n/d, #]&], n/d], Min@@#>=d&]], {d, Select[s, Divisible[n, #]&]}]];
Select[Range[nn], facsusing[dat, #]!={}&]
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CROSSREFS
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A302696 lists numbers with coprime prime indices.
A304711 lists numbers with coprime distinct prime indices.
Cf. A001221, A007360, A007916, A056239, A112798, A302569, A327516, A333228, A335238, A335239, A335240, A336424, A336497, A336736.
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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