What is the 2909th prime number?
The 2909th prime number is 26489. The next prime is 26497 (a gap of 8) and the one before is 26479.
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 2909th one is 26489.
- 2
26489 is prime because no prime up to ā26489 ā 162.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2909th prime is close to 2909 Ć ln(2909) ā 23201, and here it is 26489.
- 4
26489 has no twin: neither 26487 nor 26491 is prime.
Primes around the 2909th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2906 | 26449 | 12 |
| 2907 | 26459 | 10 |
| 2908 | 26479 | 20 |
| 2909 | 26489 | 10 |
| 2910 | 26497 | 8 |
| 2911 | 26501 | 4 |
| 2912 | 26513 | 12 |
Questions
What is the 2909th prime number?
26489.
Which prime number is 26489?
26489 is the 2909th prime number.
What is the sum of the first 2909 primes?
36,192,144.