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Problem 248
Posted: Sun Jan 24, 2010 6:01 pm
by LarryBlake
Problem 248 (
View Problem)
I've generated about half a million numbers with this Totient value, but apparently my 150,000th is not the one desired. Could someone post the 100th and the 1000th, so I can check my results? If you prefer, I'll PM them to you. Thanks.
Re: Problem 248
Posted: Sun Jan 24, 2010 10:08 pm
by wrongrook
I make these:
100th is 6239393627
1000th is 6359386477
Good luck!
This probably sounds incredibly patronising, so please understand that no offence is intended, but I suspect you will find it helpful to write a simple bruteforce algorithm to check the results for small numbers

Re: Problem 248
Posted: Sun Jan 24, 2010 10:20 pm
by LarryBlake
Thanks. As I suspected, I seem to be missing a few.
Is 6227267713 the 10th?
BTW, wrongrook, I'm truly amazed by your progress. For a while, we had a similar number of answers, but you've left me in the dust. Great job.

Re: Problem 248
Posted: Sun Jan 24, 2010 10:29 pm
by wrongrook
I agree with your value for 10.
By the way I hope you didn't read the reply too early as I had off by 1 errors in them the first time!
I've been really enjoying this site and probably spending far too much time on it.
I've been amazed by how much interesting and understandable mathematics I was able to discover through solving these problems. (I had no doubt that there was loads of interesting maths around, the surprising part is that through this site I have been able to come to grips with some of it at last.)
I have had a bit of an unfair advantage though in that I had just resigned my job when I discovered this site and my employer insisted on me working out my 3 month notice period just in case something turned up for me to do...
Re: Problem 248
Posted: Tue May 18, 2010 4:56 pm
by cataluna0213
I'm confused as to what the question is asking.
First of all, it would have been nice if the problem defined totient function.
What I'm stuck at is 'find the 150,000th such number. What is 'such number?'' An n such that the totient is also 13! or a totient that is any factorial?
Re: Problem 248
Posted: Tue May 18, 2010 5:36 pm
by harryh
The 150,000th number n for which φ(n) = 13!
Re: Problem 248
Posted: Sun Jul 10, 2016 8:54 pm
by maaartinus
I wonder what I'm doing wrong as I get only 148394 numbers. I get all the above values (the 10th, 100th and 1000th number) right.