What is the 2574th prime number?
The 2574th prime number is 23057. The next prime is 23059 (a gap of 2) and the one before is 23053.
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 2574th one is 23057.
- 2
23057 is prime because no prime up to ā23057 ā 151.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2574th prime is close to 2574 Ć ln(2574) ā 20214, and here it is 23057.
- 4
23057 is a twin prime: 23057 and 23059 are both prime.
Primes around the 2574th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2571 | 23039 | 10 |
| 2572 | 23041 | 2 |
| 2573 | 23053 | 12 |
| 2574 | 23057 | 4 |
| 2575 | 23059 | 2 |
| 2576 | 23063 | 4 |
| 2577 | 23071 | 8 |
Questions
What is the 2574th prime number?
23057.
Which prime number is 23057?
23057 is the 2574th prime number.
What is the sum of the first 2574 primes?
27,891,757.