What is the 2947th prime number?
The 2947th prime number is 26863. The next prime is 26879 (a gap of 16) and the one before is 26861.
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 2947th one is 26863.
- 2
26863 is prime because no prime up to ā26863 ā 163.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2947th prime is close to 2947 Ć ln(2947) ā 23542, and here it is 26863.
- 4
26863 is a twin prime: 26861 and 26863 are both prime.
Primes around the 2947th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2944 | 26839 | 6 |
| 2945 | 26849 | 10 |
| 2946 | 26861 | 12 |
| 2947 | 26863 | 2 |
| 2948 | 26879 | 16 |
| 2949 | 26881 | 2 |
| 2950 | 26891 | 10 |
Questions
What is the 2947th prime number?
26863.
Which prime number is 26863?
26863 is the 2947th prime number.
What is the sum of the first 2947 primes?
37,206,494.