What is the 2907th prime number?
The 2907th prime number is 26459. The next prime is 26479 (a gap of 20) and the one before is 26449.
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 2907th one is 26459.
- 2
26459 is prime because no prime up to ā26459 ā 162.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2907th prime is close to 2907 Ć ln(2907) ā 23183, and here it is 26459.
- 4
26459 has no twin: neither 26457 nor 26461 is prime.
Primes around the 2907th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2904 | 26431 | 8 |
| 2905 | 26437 | 6 |
| 2906 | 26449 | 12 |
| 2907 | 26459 | 10 |
| 2908 | 26479 | 20 |
| 2909 | 26489 | 10 |
| 2910 | 26497 | 8 |
Questions
What is the 2907th prime number?
26459.
Which prime number is 26459?
26459 is the 2907th prime number.
What is the sum of the first 2907 primes?
36,139,176.