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KingGeorge
 3 years ago
[SOLVED] While I'm not terribly busy, have this as a challenge problem.
What are the next two numbers in this sequence of four digit positive integers? \[8741, 7632, 6552, 9963, 6642, \_\_\_\_, \_\_\_\_\]
KingGeorge
 3 years ago
[SOLVED] While I'm not terribly busy, have this as a challenge problem. What are the next two numbers in this sequence of four digit positive integers? \[8741, 7632, 6552, 9963, 6642, \_\_\_\_, \_\_\_\_\]

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shubhamsrg
 3 years ago
Best ResponseYou've already chosen the best response.3i have heard about this before ans is 7641,7641 please confirm

shubhamsrg
 3 years ago
Best ResponseYou've already chosen the best response.3i also know the deep theory behind it,though roughly only..

sauravshakya
 3 years ago
Best ResponseYou've already chosen the best response.0@shubhamsrg I would like to know the reason

shubhamsrg
 3 years ago
Best ResponseYou've already chosen the best response.3i'd want to confirm @KingGeorge to confirm the ans first.. otherwise am 99% convinced am correct.. i'll message you the reason..

sauravshakya
 3 years ago
Best ResponseYou've already chosen the best response.0Looks like u r right @shubhamsrg

KingGeorge
 3 years ago
Best ResponseYou've already chosen the best response.0We have a winner! Excellent work. I was wondering how long it would be until someone noticed the pattern :P

KingGeorge
 3 years ago
Best ResponseYou've already chosen the best response.0For those wondering what the pattern is, you take the starting number, order the digits in increasing order to create one new number, and order the digits in decreasing order to create a second number. Then, you subtract the smaller number from the larger number, and repeat the process with your new number. As I did above, 87411478=7263 76322367=5265 65522556=3996 99633699=6264 66422466=4176 76411467=6174 Curiously enough, if you do this pattern for any positive 4digit number, you always get 6174 after 7 steps or less. See here for more info. http://en.wikipedia.org/wiki/6174_(number)

ParthKohli
 3 years ago
Best ResponseYou've already chosen the best response.0Wow, that's a nice conjecture! :) Can it be prove? @KingGeorge

KingGeorge
 3 years ago
Best ResponseYou've already chosen the best response.0@ParthKohli I do not have the required knowledge to prove it other than through brute force. However, it can be proven with brute force. I should also qualify that there are some numbers (1111, 1211, 4443, 4444, etc) that do not reach 6174, and instead reach 0.
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