What is the 3075th prime number?
The 3075th prime number is 28211. The next prime is 28219 (a gap of 8) and the one before is 28201.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 3075th one is 28211.
- 2
28211 is prime because no prime up to ā28211 ā 167.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3075th prime is close to 3075 Ć ln(3075) ā 24696, and here it is 28211.
- 4
28211 has no twin: neither 28209 nor 28213 is prime.
Primes around the 3075th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3072 | 28181 | 18 |
| 3073 | 28183 | 2 |
| 3074 | 28201 | 18 |
| 3075 | 28211 | 10 |
| 3076 | 28219 | 8 |
| 3077 | 28229 | 10 |
| 3078 | 28277 | 48 |
Questions
What is the 3075th prime number?
28211.
Which prime number is 28211?
28211 is the 3075th prime number.
What is the sum of the first 3075 primes?
40,733,036.