What is the 8315th prime number?
The 8315th prime number is 85429. The next prime is 85439 (a gap of 10) and the one before is 85427.
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 8315th one is 85429.
- 2
85429 is prime because no prime up to ā85429 ā 292.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8315th prime is close to 8315 Ć ln(8315) ā 75050, and here it is 85429.
- 4
85429 is a twin prime: 85427 and 85429 are both prime.
Primes around the 8315th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8312 | 85381 | 12 |
| 8313 | 85411 | 30 |
| 8314 | 85427 | 16 |
| 8315 | 85429 | 2 |
| 8316 | 85439 | 10 |
| 8317 | 85447 | 8 |
| 8318 | 85451 | 4 |
Questions
What is the 8315th prime number?
85429.
Which prime number is 85429?
85429 is the 8315th prime number.
What is the sum of the first 8315 primes?
336,010,170.