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A278962
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Each triple of consecutive terms contains a term that divides the product of the other two terms.
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3
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1, 2, 3, 4, 6, 8, 9, 12, 15, 5, 7, 10, 14, 20, 21, 28, 16, 24, 18, 27, 22, 11, 13, 26, 17, 34, 19, 38, 23, 46, 25, 50, 29, 58, 30, 45, 32, 36, 40, 48, 35, 42, 49, 54, 63, 56, 64, 70, 80, 72, 60, 55, 33, 39, 44, 52, 65, 68, 85, 75, 51, 100, 102, 120, 90, 57, 76
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OFFSET
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1,2
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COMMENTS
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This is the lexicographically first sequence of distinct terms with this property.
Conjectures:
- All primes appear, and in increasing order,
- If a(i) is prime and i<j, then a(i) < a(j).
Here are some triples of consecutive terms where each term divides the product of the two others:
- (a(99), a(100), a(101)) = (132, 143, 156) = (2^2*3*11, 11*13, 2^2*3*13),
- (a(5714), a(5715), a(5716)) = (7055, 5146, 5270) = (5*17*83, 2*31*83, 2*5*17*31),
- (a(6674), a(6675), a(6676)) = (8099, 6052, 6188) = (7*13*89, 2^2*17*89, 2^2*7*13*17).
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LINKS
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CROSSREFS
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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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