What is the 2892nd prime number?
The 2892nd prime number is 26317. The next prime is 26321 (a gap of 4) and the one before is 26309.
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 2892nd one is 26317.
- 2
26317 is prime because no prime up to ā26317 ā 162.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2892nd prime is close to 2892 Ć ln(2892) ā 23048, and here it is 26317.
- 4
26317 has no twin: neither 26315 nor 26319 is prime.
Primes around the 2892nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2889 | 26293 | 26 |
| 2890 | 26297 | 4 |
| 2891 | 26309 | 12 |
| 2892 | 26317 | 8 |
| 2893 | 26321 | 4 |
| 2894 | 26339 | 18 |
| 2895 | 26347 | 8 |
Questions
What is the 2892nd prime number?
26317.
Which prime number is 26317?
26317 is the 2892nd prime number.
What is the sum of the first 2892 primes?
35,743,239.