What is the 2591st prime number?
The 2591st prime number is 23209. The next prime is 23227 (a gap of 18) and the one before is 23203.
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 2591st one is 23209.
- 2
23209 is prime because no prime up to ā23209 ā 152.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2591st prime is close to 2591 Ć ln(2591) ā 20365, and here it is 23209.
- 4
23209 has no twin: neither 23207 nor 23211 is prime.
Primes around the 2591st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2588 | 23197 | 8 |
| 2589 | 23201 | 4 |
| 2590 | 23203 | 2 |
| 2591 | 23209 | 6 |
| 2592 | 23227 | 18 |
| 2593 | 23251 | 24 |
| 2594 | 23269 | 18 |
Questions
What is the 2591st prime number?
23209.
Which prime number is 23209?
23209 is the 2591st prime number.
What is the sum of the first 2591 primes?
28,285,106.