What is the 8322nd prime number?
The 8322nd prime number is 85513. The next prime is 85517 (a gap of 4) and the one before is 85487.
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 8322nd one is 85513.
- 2
85513 is prime because no prime up to ā85513 ā 292.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8322nd prime is close to 8322 Ć ln(8322) ā 75120, and here it is 85513.
- 4
85513 has no twin: neither 85511 nor 85515 is prime.
Primes around the 8322nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8319 | 85453 | 2 |
| 8320 | 85469 | 16 |
| 8321 | 85487 | 18 |
| 8322 | 85513 | 26 |
| 8323 | 85517 | 4 |
| 8324 | 85523 | 6 |
| 8325 | 85531 | 8 |
Questions
What is the 8322nd prime number?
85513.
Which prime number is 85513?
85513 is the 8322nd prime number.
What is the sum of the first 8322 primes?
336,608,429.