What is the 2946th prime number?
The 2946th prime number is 26861. The next prime is 26863 (a gap of 2) and the one before is 26849.
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 2946th one is 26861.
- 2
26861 is prime because no prime up to ā26861 ā 163.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2946th prime is close to 2946 Ć ln(2946) ā 23533, and here it is 26861.
- 4
26861 is a twin prime: 26861 and 26863 are both prime.
Primes around the 2946th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2943 | 26833 | 12 |
| 2944 | 26839 | 6 |
| 2945 | 26849 | 10 |
| 2946 | 26861 | 12 |
| 2947 | 26863 | 2 |
| 2948 | 26879 | 16 |
| 2949 | 26881 | 2 |
Questions
What is the 2946th prime number?
26861.
Which prime number is 26861?
26861 is the 2946th prime number.
What is the sum of the first 2946 primes?
37,179,631.