What is the 8140th prime number?
The 8140th prime number is 83399. The next prime is 83401 (a gap of 2) and the one before is 83389.
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 8140th one is 83399.
- 2
83399 is prime because no prime up to ā83399 ā 288.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8140th prime is close to 8140 Ć ln(8140) ā 73297, and here it is 83399.
- 4
83399 is a twin prime: 83399 and 83401 are both prime.
Primes around the 8140th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8137 | 83357 | 16 |
| 8138 | 83383 | 26 |
| 8139 | 83389 | 6 |
| 8140 | 83399 | 10 |
| 8141 | 83401 | 2 |
| 8142 | 83407 | 6 |
| 8143 | 83417 | 10 |
Questions
What is the 8140th prime number?
83399.
Which prime number is 83399?
83399 is the 8140th prime number.
What is the sum of the first 8140 primes?
321,238,157.