What is the 2949th prime number?
The 2949th prime number is 26881. The next prime is 26891 (a gap of 10) and the one before is 26879.
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 2949th one is 26881.
- 2
26881 is prime because no prime up to ā26881 ā 163.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2949th prime is close to 2949 Ć ln(2949) ā 23560, and here it is 26881.
- 4
26881 is a twin prime: 26879 and 26881 are both prime.
Primes around the 2949th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2946 | 26861 | 12 |
| 2947 | 26863 | 2 |
| 2948 | 26879 | 16 |
| 2949 | 26881 | 2 |
| 2950 | 26891 | 10 |
| 2951 | 26893 | 2 |
| 2952 | 26903 | 10 |
Questions
What is the 2949th prime number?
26881.
Which prime number is 26881?
26881 is the 2949th prime number.
What is the sum of the first 2949 primes?
37,260,254.