What is the 574th prime number?
The 574th prime number is 4177. The next prime is 4201 (a gap of 24) and the one before is 4159.
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 574th one is 4177.
- 2
4177 is prime because no prime up to ā4177 ā 64.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 574th prime is close to 574 Ć ln(574) ā 3646, and here it is 4177.
- 4
4177 has no twin: neither 4175 nor 4179 is prime.
Primes around the 574th
| Position | Prime | Gap from the previous |
|---|---|---|
| 571 | 4153 | 14 |
| 572 | 4157 | 4 |
| 573 | 4159 | 2 |
| 574 | 4177 | 18 |
| 575 | 4201 | 24 |
| 576 | 4211 | 10 |
| 577 | 4217 | 6 |
Questions
What is the 574th prime number?
4177.
Which prime number is 4177?
4177 is the 574th prime number.
What is the sum of the first 574 primes?
1,111,475.