What is the 2948th prime number?
The 2948th prime number is 26879. The next prime is 26881 (a gap of 2) and the one before is 26863.
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 2948th one is 26879.
- 2
26879 is prime because no prime up to ā26879 ā 163.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2948th prime is close to 2948 Ć ln(2948) ā 23551, and here it is 26879.
- 4
26879 is a twin prime: 26879 and 26881 are both prime.
Primes around the 2948th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2945 | 26849 | 10 |
| 2946 | 26861 | 12 |
| 2947 | 26863 | 2 |
| 2948 | 26879 | 16 |
| 2949 | 26881 | 2 |
| 2950 | 26891 | 10 |
| 2951 | 26893 | 2 |
Questions
What is the 2948th prime number?
26879.
Which prime number is 26879?
26879 is the 2948th prime number.
What is the sum of the first 2948 primes?
37,233,373.