What is the 2891st prime number?
The 2891st prime number is 26309. The next prime is 26317 (a gap of 8) and the one before is 26297.
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 2891st one is 26309.
- 2
26309 is prime because no prime up to ā26309 ā 162.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2891st prime is close to 2891 Ć ln(2891) ā 23039, and here it is 26309.
- 4
26309 has no twin: neither 26307 nor 26311 is prime.
Primes around the 2891st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2888 | 26267 | 4 |
| 2889 | 26293 | 26 |
| 2890 | 26297 | 4 |
| 2891 | 26309 | 12 |
| 2892 | 26317 | 8 |
| 2893 | 26321 | 4 |
| 2894 | 26339 | 18 |
Questions
What is the 2891st prime number?
26309.
Which prime number is 26309?
26309 is the 2891st prime number.
What is the sum of the first 2891 primes?
35,716,922.