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A072510
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Numbers n with property that n = product of first k divisors of n for some k.
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4
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1, 2, 3, 5, 6, 7, 8, 10, 11, 13, 14, 15, 17, 19, 21, 22, 23, 24, 26, 27, 29, 30, 31, 33, 34, 35, 37, 38, 39, 40, 41, 43, 46, 47, 51, 53, 55, 56, 57, 58, 59, 61, 62, 64, 65, 67, 69, 70, 71, 73, 74, 77, 79, 82, 83, 85, 86, 87, 89, 91, 93, 94, 95, 97, 101, 103, 105, 106, 107
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OFFSET
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1,2
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COMMENTS
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Contains all prime numbers, numbers with two different prime factors... First 37 terms are the same as that of A036537. 54 is member of A036537, but it is not member of this sequence. 64 is member of this sequence but not of A036537. - Vladimir Baltic, Aug 03 2002
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LINKS
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Harvey P. Dale, Table of n, a(n) for n = 1..10000
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EXAMPLE
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8 is a member as 8 = 1*2*4. but 9 is not as the divisors of 9 are 1,3,9 and 9 is not a partial product.
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MATHEMATICA
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Select[Range[110], MemberQ[FoldList[Times, 1, Divisors[#]], #]&] (* Harvey P. Dale, Jan 01 2014 *)
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PROG
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(PARI) isok(n) = {d = divisors(n); pr = 1; for(k=1, #d, pr *= d[k]; if (pr == n, return(1)); ); } \\ Michel Marcus, May 19 2017
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CROSSREFS
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Sequence in context: A002035 A336591 A036537 * A084116 A137620 A336487
Adjacent sequences: A072507 A072508 A072509 * A072511 A072512 A072513
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KEYWORD
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nonn
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AUTHOR
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Amarnath Murthy, Jul 22 2002
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EXTENSIONS
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More terms from Vladimir Baltic, Aug 03 2002
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STATUS
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approved
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