What is the 8320th prime number?
The 8320th prime number is 85469. The next prime is 85487 (a gap of 18) and the one before is 85453.
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 8320th one is 85469.
- 2
85469 is prime because no prime up to ā85469 ā 292.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8320th prime is close to 8320 Ć ln(8320) ā 75100, and here it is 85469.
- 4
85469 has no twin: neither 85467 nor 85471 is prime.
Primes around the 8320th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8317 | 85447 | 8 |
| 8318 | 85451 | 4 |
| 8319 | 85453 | 2 |
| 8320 | 85469 | 16 |
| 8321 | 85487 | 18 |
| 8322 | 85513 | 26 |
| 8323 | 85517 | 4 |
Questions
What is the 8320th prime number?
85469.
Which prime number is 85469?
85469 is the 8320th prime number.
What is the sum of the first 8320 primes?
336,437,429.