What is the 2911th prime number?
The 2911th prime number is 26501. The next prime is 26513 (a gap of 12) and the one before is 26497.
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 2911th one is 26501.
- 2
26501 is prime because no prime up to ā26501 ā 162.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2911th prime is close to 2911 Ć ln(2911) ā 23219, and here it is 26501.
- 4
26501 has no twin: neither 26499 nor 26503 is prime.
Primes around the 2911th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2908 | 26479 | 20 |
| 2909 | 26489 | 10 |
| 2910 | 26497 | 8 |
| 2911 | 26501 | 4 |
| 2912 | 26513 | 12 |
| 2913 | 26539 | 26 |
| 2914 | 26557 | 18 |
Questions
What is the 2911th prime number?
26501.
Which prime number is 26501?
26501 is the 2911th prime number.
What is the sum of the first 2911 primes?
36,245,142.