What is the 2929th prime number?
The 2929th prime number is 26701. The next prime is 26711 (a gap of 10) and the one before is 26699.
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 2929th one is 26701.
- 2
26701 is prime because no prime up to ā26701 ā 163.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2929th prime is close to 2929 Ć ln(2929) ā 23380, and here it is 26701.
- 4
26701 is a twin prime: 26699 and 26701 are both prime.
Primes around the 2929th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2926 | 26687 | 4 |
| 2927 | 26693 | 6 |
| 2928 | 26699 | 6 |
| 2929 | 26701 | 2 |
| 2930 | 26711 | 10 |
| 2931 | 26713 | 2 |
| 2932 | 26717 | 4 |
Questions
What is the 2929th prime number?
26701.
Which prime number is 26701?
26701 is the 2929th prime number.
What is the sum of the first 2929 primes?
36,724,434.