A072510 Numbers n with property that n = product of first k divisors of n for some k.

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

Author

Amarnath Murthy, Jul 22 2002

Keywords

• nonn

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

Examples

			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.
		

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..10000

Programs

Mathematica

Select[Range[110],MemberQ[FoldList[Times,1,Divisors[#]],#]&] (* Harvey P. Dale, Jan 01 2014 *)

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

Extensions

More terms from Vladimir Baltic, Aug 03 2002