The default formula use by AWS RDS to calculate the max_connections parameter is: LEAST({DBInstanceClassMemory/9531392},5000)
But It's hard to find the exact value of DBInstanceClassMemory.
So, here are the values I got when I ran the SQL commmand: show max_connections; in some RDS instances:
| Instance type | RAM (GB) | max_connections |
|---|---|---|
| db.t2.small | 2 | 198 |
| db.t2.medium | 4 | 413 |
| db.t2.large | 8 | 856 |
| db.m4.large | 8 | 856 |
| db.r4.large | 15.25 | 1660 |
These are default values. You can always change the max_connections value in the parameters group of your DB.
Does this
LEAST({DBInstanceClassMemory/9531392},5000)apply to graviton instances too. As it seems they support more max connections than the others based on https://docs.aws.amazon.com/AmazonRDS/latest/AuroraUserGuide/AuroraPostgreSQL.Managing.html but doesn't have data for t4g family.