What is the 2910th prime number?
The 2910th prime number is 26497. The next prime is 26501 (a gap of 4) and the one before is 26489.
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 2910th one is 26497.
- 2
26497 is prime because no prime up to ā26497 ā 162.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2910th prime is close to 2910 Ć ln(2910) ā 23210, and here it is 26497.
- 4
26497 has no twin: neither 26495 nor 26499 is prime.
Primes around the 2910th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2907 | 26459 | 10 |
| 2908 | 26479 | 20 |
| 2909 | 26489 | 10 |
| 2910 | 26497 | 8 |
| 2911 | 26501 | 4 |
| 2912 | 26513 | 12 |
| 2913 | 26539 | 26 |
Questions
What is the 2910th prime number?
26497.
Which prime number is 26497?
26497 is the 2910th prime number.
What is the sum of the first 2910 primes?
36,218,641.