Pickett Posted March 4, 2009 Report Share Posted March 4, 2009 (edited) Don't bother Googling it What are the next few numbers? 99, 99, 99, 99, 97, 2, 97, 2... If you need a hint... Was it Eliot's toilet I saw? In this case, it appears not...But it makes no difference either way...What matters is Cheryl seems really messed up right now... Edited March 4, 2009 by Pickett Quote Link to comment Share on other sites More sharing options...
0 Guest Posted March 4, 2009 Report Share Posted March 4, 2009 (edited) 0,0,0,0 Edited March 4, 2009 by Nazaria Quote Link to comment Share on other sites More sharing options...
0 Guest Posted March 4, 2009 Report Share Posted March 4, 2009 0,0,0,0 Hey Nazaria, How did you come up with 0,0,0,0? Quote Link to comment Share on other sites More sharing options...
0 Guest Posted March 4, 2009 Report Share Posted March 4, 2009 Hey Nazaria, How did you come up with 0,0,0,0? I just thought 99,99,99,99,97,2,97,2,99,99,99,99 at first because 99-97 is 2 and 97 is 99 so i thought ok the next numbers were 99,99,99,99. I also thought something like 95,4,95,4 but there is a gap and the zeros filled that gap. So my whole pattern would be 99,99,99,99,97,2,97,2,0,0,0,0,95,4,95,4. Honestly I am not quite sure how I came up with that. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted March 4, 2009 Report Share Posted March 4, 2009 Spoiler confusion "Eliot" is a famous palindrome. What is Cheryl? Quote Link to comment Share on other sites More sharing options...
0 Guest Posted March 4, 2009 Report Share Posted March 4, 2009 I just thought 99,99,99,99,97,2,97,2,99,99,99,99 at first because 99-97 is 2 and 97 is 99 so i thought ok the next numbers were 99,99,99,99. I also thought something like 95,4,95,4 but there is a gap and the zeros filled that gap. So my whole pattern would be 99,99,99,99,97,2,97,2,0,0,0,0,95,4,95,4. Honestly I am not quite sure how I came up with that. OH OK..I got lost in your explanation...I thought of the first explanation as well.. I am still working on figuring this out. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted March 4, 2009 Report Share Posted March 4, 2009 Spoiler confusion "Eliot" is a famous palindrome. What is Cheryl? They said it wasn't a palindrome, or is it because "it makes no difference either way" but the Cheryl thing has me thinking as well. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted March 4, 2009 Report Share Posted March 4, 2009 OH OK..I got lost in your explanation...I thought of the first explanation as well.. I am still working on figuring this out. Try being me once, I get lost in my mind and explanations all the time. Quote Link to comment Share on other sites More sharing options...
0 Pickett Posted March 4, 2009 Author Report Share Posted March 4, 2009 They said it wasn't a palindrome, or is it because "it makes no difference either way" but the Cheryl thing has me thinking as well. 0, 0, 0, 0 is in fact incorrect... The clue is very helpful...if you can decipher it :c) some of you are slowly on the right track...I won't say any thing else for a little bit to see what people come up with... (and i'm a "he" not "they") Quote Link to comment Share on other sites More sharing options...
0 Guest Posted March 4, 2009 Report Share Posted March 4, 2009 99,99,99,99,97,2,97,2,95,4,95,4 Quote Link to comment Share on other sites More sharing options...
0 Pickett Posted March 4, 2009 Author Report Share Posted March 4, 2009 (edited) 99,99,99,99,97,2,97,2,95,4,95,4 I would love to hear your explanation...but no, that's not what I came up with... I can guess your explanation is that the numbers repeat like ABAB, but after one repeat, the "A"s move down 2 and the "B"s move up 2...but that isn't correct...i can put the next few numbers up (which would show that isn't the case)...but like I said, I'll leave it for a bit to see what else people come up with. P.S. please use spoilers Edited March 4, 2009 by Pickett Quote Link to comment Share on other sites More sharing options...
0 Guest Posted March 4, 2009 Report Share Posted March 4, 2009 I just seemed to make sense at the time. I didn't look at your clue before posting and just entered what seemed to logically follow. I would love to hear your explanation...but no, that's not what I came up with... Quote Link to comment Share on other sites More sharing options...
0 Guest Posted March 4, 2009 Report Share Posted March 4, 2009 Don't bother Googling it What are the next few numbers? 99, 99, 99, 99, 97, 2, 97, 2... If you need a hint... Was it Eliot's toilet I saw? In this case, it appears not...But it makes no difference either way...What matters is Cheryl seems really messed up right now... does this have anything to do with lychrel numbers? Quote Link to comment Share on other sites More sharing options...
0 Pickett Posted March 4, 2009 Author Report Share Posted March 4, 2009 does this have anything to do with lychrel numbers? hmm...Lychrel = Cheryl all messed up doesn't it...nice catch...but what exactly? Quote Link to comment Share on other sites More sharing options...
0 Guest Posted March 4, 2009 Report Share Posted March 4, 2009 hmm...Lychrel = Cheryl all messed up doesn't it...nice catch...but what exactly? that is the hard part....i'll get back to ya. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted March 4, 2009 Report Share Posted March 4, 2009 hmm...Lychrel = Cheryl all messed up doesn't it...nice catch...but what exactly? does this sequence ever end, or is it infinite? Quote Link to comment Share on other sites More sharing options...
0 Pickett Posted March 4, 2009 Author Report Share Posted March 4, 2009 does this sequence ever end, or is it infinite? hmmmm...I suppose it probably would continue infinitely (I know it goes quite a bit further), but I have no way of proving that...my hint still has some other key points...the Cheryl part has been figured out.... Quote Link to comment Share on other sites More sharing options...
0 Guest Posted March 4, 2009 Report Share Posted March 4, 2009 hmmmm...I suppose it probably would continue infinitely (I know it goes quite a bit further), but I have no way of proving that...my hint still has some other key points...the Cheryl part has been figured out.... gotcha. i thought i might have had relatively short answer (definitely not "quite a bit further" at least), but apparently not....i will get this! Quote Link to comment Share on other sites More sharing options...
0 Guest Posted March 4, 2009 Report Share Posted March 4, 2009 89,8,91,8,509,2 Quote Link to comment Share on other sites More sharing options...
0 Pickett Posted March 5, 2009 Author Report Share Posted March 5, 2009 89,8,91,8,509,2 Yes! Well done! Was it Eliot's toilet I saw? - This is a palindrome. So that was a hint that the answer had something to do with palindromes. Almost every number can be used to get a palindrome by taking the digits in the number, reversing them, and adding them together...then repeating multiple times (sometimes 20+ times)... Example: 59 ==> 59 + 95 = 154, 154 + 451 = 605, 605 + 506 = 1111 <== PALINDROME! In this case, it appears not... - There are a few numbers, however, that appear to NEVER end in a palindrome (people have gone out millions of iterations to 300+ million digit numbers, and never found a palindrome)...these numbers are: 196, 295, 394, 493, 592, 689, 691, 788, 790, 879, 887...etc...etc... But it makes no difference either way... - Take the difference between these numbers, and you have my sequence... What matters is Cheryl seems really messed up right now... - This was a big hint towards these numbers...The sequence of numbers that don't end in a palindrome are called Lychrel numbers. It is an anagram of the name of the wife, Cheryl, of the guy who came up with the sequence. So "Cheryl messed up" ==> Lychrel. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted March 6, 2009 Report Share Posted March 6, 2009 Yes! Well done! Was it Eliot's toilet I saw? - This is a palindrome. So that was a hint that the answer had something to do with palindromes. Almost every number can be used to get a palindrome by taking the digits in the number, reversing them, and adding them together...then repeating multiple times (sometimes 20+ times)... Example: 59 ==> 59 + 95 = 154, 154 + 451 = 605, 605 + 506 = 1111 <== PALINDROME! In this case, it appears not... - There are a few numbers, however, that appear to NEVER end in a palindrome (people have gone out millions of iterations to 300+ million digit numbers, and never found a palindrome)...these numbers are: 196, 295, 394, 493, 592, 689, 691, 788, 790, 879, 887...etc...etc... But it makes no difference either way... - Take the difference between these numbers, and you have my sequence... What matters is Cheryl seems really messed up right now... - This was a big hint towards these numbers...The sequence of numbers that don't end in a palindrome are called Lychrel numbers. It is an anagram of the name of the wife, Cheryl, of the guy who came up with the sequence. So "Cheryl messed up" ==> Lychrel. just a quick question, who first thought of the fact that most numbers will not be Lychrel numbers and how do they know 196 is a Lychrel number, couldn't it become a palindrome sometime in the future? Quote Link to comment Share on other sites More sharing options...
0 Pickett Posted March 6, 2009 Author Report Share Posted March 6, 2009 just a quick question, who first thought of the fact that most numbers will not be Lychrel numbers and how do they know 196 is a Lychrel number, couldn't it become a palindrome sometime in the future? It is true that technically speaking there are no PROVEN Lychrel numbers. There have been no mathematical proofs saying that all numbers will become palindromes, and none that say certain ones never will... HOWEVER...Some people have spent a LOT of money working on these numbers (especially 196)...they have gone through millions of iterations and taken the number out to over 300 million digits and still no palindrome. And when you stop to think about it probabilistically, the larger the number becomes the less likely it will ever become a palindrome. There are plenty of websites out there that are "devoted" to Lychrel numbers and the search for palindromes...so, you could just do a search for Lychrel 196 or something and find these sites. I don't know who thought of this whole process...but Wade VanLandingham came up with the Lychrel numbers (or at least the name for them)... I wrote a simple program to determine which numbers become palindromes...and so, that's probably how someone figured out that most of them were NOT Lychrel numbers. Hope this provides some insight. Quote Link to comment Share on other sites More sharing options...
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Pickett
Don't bother Googling it What are the next few numbers?
99, 99, 99, 99, 97, 2, 97, 2...
If you need a hint...
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