What is the 2589th prime number?
The 2589th prime number is 23201. The next prime is 23203 (a gap of 2) and the one before is 23197.
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 2589th one is 23201.
- 2
23201 is prime because no prime up to ā23201 ā 152.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2589th prime is close to 2589 Ć ln(2589) ā 20347, and here it is 23201.
- 4
23201 is a twin prime: 23201 and 23203 are both prime.
Primes around the 2589th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2586 | 23173 | 6 |
| 2587 | 23189 | 16 |
| 2588 | 23197 | 8 |
| 2589 | 23201 | 4 |
| 2590 | 23203 | 2 |
| 2591 | 23209 | 6 |
| 2592 | 23227 | 18 |
Questions
What is the 2589th prime number?
23201.
Which prime number is 23201?
23201 is the 2589th prime number.
What is the sum of the first 2589 primes?
28,238,694.