What is the 2575th prime number?
The 2575th prime number is 23059. The next prime is 23063 (a gap of 4) and the one before is 23057.
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 2575th one is 23059.
- 2
23059 is prime because no prime up to ā23059 ā 151.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2575th prime is close to 2575 Ć ln(2575) ā 20223, and here it is 23059.
- 4
23059 is a twin prime: 23057 and 23059 are both prime.
Primes around the 2575th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2572 | 23041 | 2 |
| 2573 | 23053 | 12 |
| 2574 | 23057 | 4 |
| 2575 | 23059 | 2 |
| 2576 | 23063 | 4 |
| 2577 | 23071 | 8 |
| 2578 | 23081 | 10 |
Questions
What is the 2575th prime number?
23059.
Which prime number is 23059?
23059 is the 2575th prime number.
What is the sum of the first 2575 primes?
27,914,816.