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 2022-09-19, 09:28 #1 enzocreti   Mar 2018 53810 Posts numbers of the form 24n+2 Is it correct that every number of the form 24n+2 cannot be of the form 3m+1? for m,n positive integers? mod 3 this should yeld to 2=1 mod 3? using chinese remainder theorem only numbers 4+6k can be of the form 3g+1 24n+2 is not 4 mod 6 Last fiddled with by enzocreti on 2022-09-19 at 09:43
2022-09-20, 14:50   #2
LaurV
Romulan Interpreter

"name field"
Jun 2011
Thailand

3·5·683 Posts

Quote:
 Originally Posted by enzocreti only numbers 4+6k can be of the form 3g+1
is it true that 13 is a number that doesn't exist?

2022-09-20, 19:19   #3
science_man_88

"Forget I exist"
Jul 2009
Dartmouth NS

2·3·23·61 Posts

Quote:
 Originally Posted by LaurV is it true that 13 is a number that doesn't exist?
Or the trivial 1

2022-09-21, 07:35   #4
enzocreti

Mar 2018

10000110102 Posts
odd

Quote:
 Originally Posted by LaurV is it true that 13 is a number that doesn't exist?
but 13 is odd

2022-09-21, 15:49   #5
LaurV
Romulan Interpreter

"name field"
Jun 2011
Thailand

3·5·683 Posts

Quote:
 Originally Posted by enzocreti but 13 is odd
yes, and very unlucky!

2022-09-21, 15:59   #6
slandrum

Jan 2021
California

48210 Posts

Quote:
 Originally Posted by enzocreti Is it correct that every number of the form 24n+2 cannot be of the form 3m+1? for m,n positive integers?
Well, lets do a simple substitution - if we say n = 8m, then you are asking if 24n+2 can ever be of the form 24n+1 (or if 3m+2 can be of the form 3m+1)
Now do you see the answer?

Last fiddled with by slandrum on 2022-09-21 at 16:02

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