What is the 8321st prime number?
The 8321st prime number is 85487. The next prime is 85513 (a gap of 26) and the one before is 85469.
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 8321st one is 85487.
- 2
85487 is prime because no prime up to ā85487 ā 292.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8321st prime is close to 8321 Ć ln(8321) ā 75110, and here it is 85487.
- 4
85487 has no twin: neither 85485 nor 85489 is prime.
Primes around the 8321st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8318 | 85451 | 4 |
| 8319 | 85453 | 2 |
| 8320 | 85469 | 16 |
| 8321 | 85487 | 18 |
| 8322 | 85513 | 26 |
| 8323 | 85517 | 4 |
| 8324 | 85523 | 6 |
Questions
What is the 8321st prime number?
85487.
Which prime number is 85487?
85487 is the 8321st prime number.
What is the sum of the first 8321 primes?
336,522,916.