What is the 2879th prime number?
The 2879th prime number is 26189. The next prime is 26203 (a gap of 14) and the one before is 26183.
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 2879th one is 26189.
- 2
26189 is prime because no prime up to ā26189 ā 161.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2879th prime is close to 2879 Ć ln(2879) ā 22932, and here it is 26189.
- 4
26189 has no twin: neither 26187 nor 26191 is prime.
Primes around the 2879th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2876 | 26171 | 10 |
| 2877 | 26177 | 6 |
| 2878 | 26183 | 6 |
| 2879 | 26189 | 6 |
| 2880 | 26203 | 14 |
| 2881 | 26209 | 6 |
| 2882 | 26227 | 18 |
Questions
What is the 2879th prime number?
26189.
Which prime number is 26189?
26189 is the 2879th prime number.
What is the sum of the first 2879 primes?
35,401,856.