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A072510
Numbers n with property that n = product of first k divisors of n for some k.
4
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
OFFSET
1,2
COMMENTS
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
LINKS
EXAMPLE
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.
MATHEMATICA
Select[Range[110], MemberQ[FoldList[Times, 1, Divisors[#]], #]&] (* Harvey P. Dale, Jan 01 2014 *)
PROG
(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
CROSSREFS
Sequence in context: A002035 A336591 A036537 * A084116 A137620 A368999
KEYWORD
nonn
AUTHOR
Amarnath Murthy, Jul 22 2002
EXTENSIONS
More terms from Vladimir Baltic, Aug 03 2002
STATUS
approved