35 points on ES is $1750. You probably shouldn't risk more than 5% of your account on a single trade, so if your account is $35000, that would be a max risk per trade.
But that doesn't answer your question. The answer really depends on what trading system you use, the percentage of profitable/unprofitable trades, and the average gain for profitable trades and average loss per losing trade.
If you have a system that average $1750 per week (about $7500 per month), I think you need an account with about $60,000.
Every system I've ever seen or used always will have a string of losing trades -- there is no way to avoid this. If you are undercapitalized, it could take your balance down so far you can't recover. ES and NQ are leveraged instruments, so while you can earn money faster, you also lose it faster (than if it weren't leveraged).