What is the 2935th prime number?
The 2935th prime number is 26731. The next prime is 26737 (a gap of 6) and the one before is 26729.
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 2935th one is 26731.
- 2
26731 is prime because no prime up to ā26731 ā 163.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2935th prime is close to 2935 Ć ln(2935) ā 23434, and here it is 26731.
- 4
26731 is a twin prime: 26729 and 26731 are both prime.
Primes around the 2935th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2932 | 26717 | 4 |
| 2933 | 26723 | 6 |
| 2934 | 26729 | 6 |
| 2935 | 26731 | 2 |
| 2936 | 26737 | 6 |
| 2937 | 26759 | 22 |
| 2938 | 26777 | 18 |
Questions
What is the 2935th prime number?
26731.
Which prime number is 26731?
26731 is the 2935th prime number.
What is the sum of the first 2935 primes?
36,884,758.