What is the 2908th prime number?
The 2908th prime number is 26479. The next prime is 26489 (a gap of 10) and the one before is 26459.
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 2908th one is 26479.
- 2
26479 is prime because no prime up to ā26479 ā 162.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2908th prime is close to 2908 Ć ln(2908) ā 23192, and here it is 26479.
- 4
26479 has no twin: neither 26477 nor 26481 is prime.
Primes around the 2908th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2905 | 26437 | 6 |
| 2906 | 26449 | 12 |
| 2907 | 26459 | 10 |
| 2908 | 26479 | 20 |
| 2909 | 26489 | 10 |
| 2910 | 26497 | 8 |
| 2911 | 26501 | 4 |
Questions
What is the 2908th prime number?
26479.
Which prime number is 26479?
26479 is the 2908th prime number.
What is the sum of the first 2908 primes?
36,165,655.