What is the 2934th prime number?
The 2934th prime number is 26729. The next prime is 26731 (a gap of 2) and the one before is 26723.
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 2934th one is 26729.
- 2
26729 is prime because no prime up to ā26729 ā 163.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2934th prime is close to 2934 Ć ln(2934) ā 23425, and here it is 26729.
- 4
26729 is a twin prime: 26729 and 26731 are both prime.
Primes around the 2934th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2931 | 26713 | 2 |
| 2932 | 26717 | 4 |
| 2933 | 26723 | 6 |
| 2934 | 26729 | 6 |
| 2935 | 26731 | 2 |
| 2936 | 26737 | 6 |
| 2937 | 26759 | 22 |
Questions
What is the 2934th prime number?
26729.
Which prime number is 26729?
26729 is the 2934th prime number.
What is the sum of the first 2934 primes?
36,858,027.