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A361102
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1 together with numbers having at least two distinct prime factors.
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16
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1, 6, 10, 12, 14, 15, 18, 20, 21, 22, 24, 26, 28, 30, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100, 102, 104, 105, 106, 108, 110, 111, 112
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OFFSET
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1,2
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COMMENTS
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This is the union of 1 and A024619. It is the sequence C used in the definition of A360519. Since C is central to the analysis of A360519 it deserves its own entry.
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LINKS
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FORMULA
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The sequence is the complement of the prime powers in the positive integers, a = A000027 \ A246655.
k is in this sequence <=> k divides lcm(1, 2, ..., k-1). (End)
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MAPLE
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isa := n -> is(irem(ilcm(seq(1..n-1)), n) = 0):
aList := upto -> select(isa, [seq(1..upto)]):
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MATHEMATICA
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PROG
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(SageMath)
def A361102List(upto: int) -> list[int]:
return sorted(Set(1..upto).difference(prime_powers(upto)))
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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