What is the 2875th prime number?
The 2875th prime number is 26161. The next prime is 26171 (a gap of 10) and the one before is 26153.
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 2875th one is 26161.
- 2
26161 is prime because no prime up to ā26161 ā 161.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2875th prime is close to 2875 Ć ln(2875) ā 22896, and here it is 26161.
- 4
26161 has no twin: neither 26159 nor 26163 is prime.
Primes around the 2875th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2872 | 26119 | 6 |
| 2873 | 26141 | 22 |
| 2874 | 26153 | 12 |
| 2875 | 26161 | 8 |
| 2876 | 26171 | 10 |
| 2877 | 26177 | 6 |
| 2878 | 26183 | 6 |
Questions
What is the 2875th prime number?
26161.
Which prime number is 26161?
26161 is the 2875th prime number.
What is the sum of the first 2875 primes?
35,297,136.