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A361909
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Positive integers > 1 whose prime indices satisfy: (maximum) = 2*(length).
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6
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3, 14, 21, 35, 49, 52, 78, 117, 130, 152, 182, 195, 228, 273, 286, 325, 338, 342, 380, 429, 455, 464, 507, 513, 532, 570, 637, 696, 715, 798, 836, 845, 855, 950, 988, 1001, 1044, 1160, 1183, 1184, 1197, 1254, 1292, 1330, 1425, 1444, 1482, 1566, 1573, 1624
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OFFSET
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1,1
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COMMENTS
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A prime index of n is a number m such that prime(m) divides n. The multiset of prime indices of n is row n of A112798.
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LINKS
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EXAMPLE
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The terms together with their prime indices begin:
3: {2}
14: {1,4}
21: {2,4}
35: {3,4}
49: {4,4}
52: {1,1,6}
78: {1,2,6}
117: {2,2,6}
130: {1,3,6}
152: {1,1,1,8}
182: {1,4,6}
195: {2,3,6}
228: {1,1,2,8}
273: {2,4,6}
286: {1,5,6}
325: {3,3,6}
338: {1,6,6}
342: {1,2,2,8}
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MATHEMATICA
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Select[Range[2, 100], PrimePi[FactorInteger[#][[-1, 1]]]==2*PrimeOmega[#]&]
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CROSSREFS
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Without multiplying by 2 in the RHS, we have A106529.
Partitions of this type are counted by A237753.
The RHS is A255201 (twice bigomega).
A001221 (omega) counts distinct prime factors.
A001222 (bigomega) counts prime factors with multiplicity.
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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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