What is the 2950th prime number?
The 2950th prime number is 26891. The next prime is 26893 (a gap of 2) and the one before is 26881.
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 2950th one is 26891.
- 2
26891 is prime because no prime up to ā26891 ā 163.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2950th prime is close to 2950 Ć ln(2950) ā 23569, and here it is 26891.
- 4
26891 is a twin prime: 26891 and 26893 are both prime.
Primes around the 2950th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2947 | 26863 | 2 |
| 2948 | 26879 | 16 |
| 2949 | 26881 | 2 |
| 2950 | 26891 | 10 |
| 2951 | 26893 | 2 |
| 2952 | 26903 | 10 |
| 2953 | 26921 | 18 |
Questions
What is the 2950th prime number?
26891.
Which prime number is 26891?
26891 is the 2950th prime number.
What is the sum of the first 2950 primes?
37,287,145.