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1:27 PM
@Sahaj For every $k\le 35$ except $k=2$ , there is a limit upto which we have to check , but this limit is in some cases still high. I am already quite convinced that the conjecture is true.
For $k=1,3,4,5$ , the conjecture is true.
 
1:50 PM
I think I had made some progress to show $k=2$ is also satisfies the conjecture. I’ll see if I can get it to work
 
2:12 PM
@Sahaj The case $k=2$ seems not even provable in principle since I yet found no limit for the numbers needed to be checked.
Of course , a counterexample would be a HUGE miracle.
 
2:48 PM
Huge miracle indeed
 

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