What is the 2878th prime number?
The 2878th prime number is 26183. The next prime is 26189 (a gap of 6) and the one before is 26177.
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 2878th one is 26183.
- 2
26183 is prime because no prime up to ā26183 ā 161.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2878th prime is close to 2878 Ć ln(2878) ā 22923, and here it is 26183.
- 4
26183 has no twin: neither 26181 nor 26185 is prime.
Primes around the 2878th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2875 | 26161 | 8 |
| 2876 | 26171 | 10 |
| 2877 | 26177 | 6 |
| 2878 | 26183 | 6 |
| 2879 | 26189 | 6 |
| 2880 | 26203 | 14 |
| 2881 | 26209 | 6 |
Questions
What is the 2878th prime number?
26183.
Which prime number is 26183?
26183 is the 2878th prime number.
What is the sum of the first 2878 primes?
35,375,667.