What is the 576th prime number?
The 576th prime number is 4211. The next prime is 4217 (a gap of 6) and the one before is 4201.
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 576th one is 4211.
- 2
4211 is prime because no prime up to ā4211 ā 64.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 576th prime is close to 576 Ć ln(576) ā 3661, and here it is 4211.
- 4
4211 has no twin: neither 4209 nor 4213 is prime.
Primes around the 576th
| Position | Prime | Gap from the previous |
|---|---|---|
| 573 | 4159 | 2 |
| 574 | 4177 | 18 |
| 575 | 4201 | 24 |
| 576 | 4211 | 10 |
| 577 | 4217 | 6 |
| 578 | 4219 | 2 |
| 579 | 4229 | 10 |
Questions
What is the 576th prime number?
4211.
Which prime number is 4211?
4211 is the 576th prime number.
What is the sum of the first 576 primes?
1,119,887.