Known Largest Harshad Number.

spkarra · 2010-06-12, 01:29

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

axn · 2010-06-12, 01:40

10^n, 2*10^n, 5*10^n, ...

Or, did you have something else in mind?

spkarra · 2010-06-13, 20:38

Thanks for the response. Actually, I am looking for largest Harshad Number that is not divisible by 10 vix. 12, 18 etc.

axn · 2010-06-13, 21:02

Quote:

Originally Posted by spkarra

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...

2010-06-12, 01:29	#1
spkarra "Sastry Karra" Jul 2009 Bridgewater, NJ (USA) 33₈ Posts	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

Similar Threads
Thread	Thread Starter	Forum	Replies	Last Post
Largest Mersenne Number Fully Factored?	c10ck3r	Data	49	2017-12-10 19:39
New largest prime number found	Prime95	Miscellaneous Math	20	2008-07-29 16:58
Number of zero's in largest prime...	Heather	Math	90	2006-04-01 22:06
Largest number in the real universe	danjmi	Science & Technology	17	2004-09-26 20:25
New largest prime number???	McBryce	Lounge	39	2003-08-12 19:35

2010-06-12, 01:40	#2
axn Jun 2003 5438₁₀ Posts	10^n, 210^n, 510^n, ... Or, did you have something else in mind?

2010-06-13, 20:38	#3
spkarra "Sastry Karra" Jul 2009 Bridgewater, NJ (USA) 3³ Posts	Thanks for the response. Actually, I am looking for largest Harshad Number that is not divisible by 10 vix. 12, 18 etc.