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Finding the nth Amazing Number?
Amazing numbers are numbers in sequence having the prime numbers 2, 3 and 5 (only).
The sequence 1,2,3,4,5,6,8,9,10,12,15 shows the first 11 amazing number.
The problem is to find the 250th amazing number.
Whosoever can show a formula and a correct answer shall be rewarded with 10 pts.
Please be concise. An algorithm will do, but do not paste a programming code.
3 Answers
- 9 years agoFavorite Answer
It requires some work to compute without a computer.
See http://en.wikipedia.org/wiki/Regular_number#Algori...
The answer can be looked up directly in http://oeis.org/A051037 at the link "Table of n, a(n) for n = 1..1000". My computation agrees.
- 9 years ago
The 250th amazing number is 38880
The solution can be obtained by enumeration.
Compute all integers of the form H = 2^i * 3^j * 5^k where i,j,k >= 0. Then sort them to find the 250th amazing number H(250).
- sowdenLv 45 years ago
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