What is the 8340th prime number?
The 8340th prime number is 85691. The next prime is 85703 (a gap of 12) and the one before is 85669.
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 8340th one is 85691.
- 2
85691 is prime because no prime up to ā85691 ā 292.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8340th prime is close to 8340 Ć ln(8340) ā 75300, and here it is 85691.
- 4
85691 has no twin: neither 85689 nor 85693 is prime.
Primes around the 8340th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8337 | 85661 | 18 |
| 8338 | 85667 | 6 |
| 8339 | 85669 | 2 |
| 8340 | 85691 | 22 |
| 8341 | 85703 | 12 |
| 8342 | 85711 | 8 |
| 8343 | 85717 | 6 |
Questions
What is the 8340th prime number?
85691.
Which prime number is 85691?
85691 is the 8340th prime number.
What is the sum of the first 8340 primes?
338,149,339.