What is the 575th prime number?
The 575th prime number is 4201. The next prime is 4211 (a gap of 10) and the one before is 4177.
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 575th one is 4201.
- 2
4201 is prime because no prime up to ā4201 ā 64.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 575th prime is close to 575 Ć ln(575) ā 3654, and here it is 4201.
- 4
4201 has no twin: neither 4199 nor 4203 is prime.
Primes around the 575th
| Position | Prime | Gap from the previous |
|---|---|---|
| 572 | 4157 | 4 |
| 573 | 4159 | 2 |
| 574 | 4177 | 18 |
| 575 | 4201 | 24 |
| 576 | 4211 | 10 |
| 577 | 4217 | 6 |
| 578 | 4219 | 2 |
Questions
What is the 575th prime number?
4201.
Which prime number is 4201?
4201 is the 575th prime number.
What is the sum of the first 575 primes?
1,115,676.