some kind of prize would work, it would insensitive people to get to that rank and will increase activity
Use Of Legend League

for players in the legend league, there are prize arenas on the last friday of each month
Not anymore

for players in the legend league, there are prize arenas on the last friday of each month
Not anymore
I put in a lot of work to get there and there's nothing to do but get spammed by notifications from the club.

Give them memebership for surpassing legend leauge and go into free membership leauge
Giving membership 4 free is almost never a good idea. I approve adding slight benefits, but not the membership.

I think for legends league you should be able to compete in premium-only tournaments and arenas like 1|1 Bullet so it's not premium but it is something and if you already have premium and you get legends league it would just get like a reward of some sorts like a 5-day extension of the premium membership.

it should be you get a free week of premium if you get to legend
That's not going to happen because it means nothing to anyone who already has premium. For diamond that's a 2.25 USD value. I wouldn't even consider that a prize with or without membership already.
What's chess.com going to do? Refund me 1.50 USD for a week of my platinum purchase?

I think for legends league you should be able to compete in premium-only tournaments and arenas like 1|1 Bullet so it's not premium but it is something and if you already have premium and you get legends league it would just get like a reward of some sorts like a 5-day extension of the premium membership.
So essentially free members get premium perks and premium members get a check for $1.60? I understand wanting more with the legend league, but we have to be realistic here.

Give them memebership for surpassing legend leauge and go into free membership leauge
Diamond is 100/y. There are over 600,000 members in the Legend league. 600,000 x 100 = 60,000,000 dollars of free membership given away. $60 million.

Give them memebership for surpassing legend leauge and go into free membership leauge
Diamond is 100/y. There are over 600,000 members in the Legend league. 600,000 x 100 = 60,000,000 dollars of free membership given away. $60 million.
Your math is flawed because not everyone in Legend has Diamond

Give them memebership for surpassing legend leauge and go into free membership leauge
Diamond is 100/y. There are over 600,000 members in the Legend league. 600,000 x 100 = 60,000,000 dollars of free membership given away. $60 million.
Your math is flawed because not everyone in Legend has Diamond
The point was to say "if everyone in legend got diamond then this amount of money is lost." your right, not everyone in legend has diamond, just the math was meant as a "what if"
Players want something next after legend league, or there should be some prizes at least.
What do you think guys?