What is the 8337th prime number?
The 8337th prime number is 85661. The next prime is 85667 (a gap of 6) and the one before is 85643.
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 8337th one is 85661.
- 2
85661 is prime because no prime up to ā85661 ā 292.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8337th prime is close to 8337 Ć ln(8337) ā 75270, and here it is 85661.
- 4
85661 has no twin: neither 85659 nor 85663 is prime.
Primes around the 8337th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8334 | 85627 | 6 |
| 8335 | 85639 | 12 |
| 8336 | 85643 | 4 |
| 8337 | 85661 | 18 |
| 8338 | 85667 | 6 |
| 8339 | 85669 | 2 |
| 8340 | 85691 | 22 |
Questions
What is the 8337th prime number?
85661.
Which prime number is 85661?
85661 is the 8337th prime number.
What is the sum of the first 8337 primes?
337,892,312.