What is the 8671st prime number?
The 8671st prime number is 89533. The next prime is 89561 (a gap of 28) and the one before is 89527.
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 8671st one is 89533.
- 2
89533 is prime because no prime up to ā89533 ā 299.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8671st prime is close to 8671 Ć ln(8671) ā 78626, and here it is 89533.
- 4
89533 has no twin: neither 89531 nor 89535 is prime.
Primes around the 8671st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8668 | 89519 | 6 |
| 8669 | 89521 | 2 |
| 8670 | 89527 | 6 |
| 8671 | 89533 | 6 |
| 8672 | 89561 | 28 |
| 8673 | 89563 | 2 |
| 8674 | 89567 | 4 |
Questions
What is the 8671st prime number?
89533.
Which prime number is 89533?
89533 is the 8671st prime number.
What is the sum of the first 8671 primes?
367,156,962.