What is the 2906th prime number?
The 2906th prime number is 26449. The next prime is 26459 (a gap of 10) and the one before is 26437.
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 2906th one is 26449.
- 2
26449 is prime because no prime up to ā26449 ā 162.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2906th prime is close to 2906 Ć ln(2906) ā 23174, and here it is 26449.
- 4
26449 has no twin: neither 26447 nor 26451 is prime.
Primes around the 2906th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2903 | 26423 | 6 |
| 2904 | 26431 | 8 |
| 2905 | 26437 | 6 |
| 2906 | 26449 | 12 |
| 2907 | 26459 | 10 |
| 2908 | 26479 | 20 |
| 2909 | 26489 | 10 |
Questions
What is the 2906th prime number?
26449.
Which prime number is 26449?
26449 is the 2906th prime number.
What is the sum of the first 2906 primes?
36,112,717.