What is the 2930th prime number?
The 2930th prime number is 26711. The next prime is 26713 (a gap of 2) and the one before is 26701.
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 2930th one is 26711.
- 2
26711 is prime because no prime up to ā26711 ā 163.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2930th prime is close to 2930 Ć ln(2930) ā 23389, and here it is 26711.
- 4
26711 is a twin prime: 26711 and 26713 are both prime.
Primes around the 2930th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2927 | 26693 | 6 |
| 2928 | 26699 | 6 |
| 2929 | 26701 | 2 |
| 2930 | 26711 | 10 |
| 2931 | 26713 | 2 |
| 2932 | 26717 | 4 |
| 2933 | 26723 | 6 |
Questions
What is the 2930th prime number?
26711.
Which prime number is 26711?
26711 is the 2930th prime number.
What is the sum of the first 2930 primes?
36,751,145.