What is the 8316th prime number?
The 8316th prime number is 85439. The next prime is 85447 (a gap of 8) and the one before is 85429.
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 8316th one is 85439.
- 2
85439 is prime because no prime up to ā85439 ā 292.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8316th prime is close to 8316 Ć ln(8316) ā 75060, and here it is 85439.
- 4
85439 has no twin: neither 85437 nor 85441 is prime.
Primes around the 8316th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8313 | 85411 | 30 |
| 8314 | 85427 | 16 |
| 8315 | 85429 | 2 |
| 8316 | 85439 | 10 |
| 8317 | 85447 | 8 |
| 8318 | 85451 | 4 |
| 8319 | 85453 | 2 |
Questions
What is the 8316th prime number?
85439.
Which prime number is 85439?
85439 is the 8316th prime number.
What is the sum of the first 8316 primes?
336,095,609.