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Old 2010-06-12, 01:29   #1
spkarra
 
"Sastry Karra"
Jul 2009
Bridgewater, NJ (USA)

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Default Known Largest Harshad Number.

Hi,
I want to find as many Harshad Numbers as I can using JAVA on my 32-bit XP.
Before I start, I would like to know if anyone did the same. If so, what is the know largest Harshad Number (of course to base 10). I will start from there onwards.

Eg: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 18, 20, 21, 24, 27, 30, 36 etc.....

Thanks,
Sastry Karra
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Old 2010-06-12, 01:40   #2
axn
 
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10^n, 2*10^n, 5*10^n, ...

Or, did you have something else in mind?
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Old 2010-06-13, 20:38   #3
spkarra
 
"Sastry Karra"
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Thanks for the response. Actually, I am looking for largest Harshad Number that is not divisible by 10 vix. 12, 18 etc.
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Old 2010-06-13, 21:02   #4
axn
 
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Quote:
Originally Posted by spkarra View Post
Thanks for the response. Actually, I am looking for largest Harshad Number that is not divisible by 10 vix. 12, 18 etc.
You need to specify more conditions. Otherwise there are other trivial solutions, like 10^n+2, 10^n+8, 2*10^n+1, 2*10^n+4, 2*10^n+7, etc...
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