What is the 2611th prime number?
The 2611th prime number is 23459. The next prime is 23473 (a gap of 14) and the one before is 23447.
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 2611th one is 23459.
- 2
23459 is prime because no prime up to ā23459 ā 153.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2611th prime is close to 2611 Ć ln(2611) ā 20542, and here it is 23459.
- 4
23459 has no twin: neither 23457 nor 23461 is prime.
Primes around the 2611th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2608 | 23417 | 18 |
| 2609 | 23431 | 14 |
| 2610 | 23447 | 16 |
| 2611 | 23459 | 12 |
| 2612 | 23473 | 14 |
| 2613 | 23497 | 24 |
| 2614 | 23509 | 12 |
Questions
What is the 2611th prime number?
23459.
Which prime number is 23459?
23459 is the 2611th prime number.
What is the sum of the first 2611 primes?
28,751,894.