What is the 8674th prime number?
The 8674th prime number is 89567. The next prime is 89591 (a gap of 24) and the one before is 89563.
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 8674th one is 89567.
- 2
89567 is prime because no prime up to ā89567 ā 299.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8674th prime is close to 8674 Ć ln(8674) ā 78657, and here it is 89567.
- 4
89567 has no twin: neither 89565 nor 89569 is prime.
Primes around the 8674th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8671 | 89533 | 6 |
| 8672 | 89561 | 28 |
| 8673 | 89563 | 2 |
| 8674 | 89567 | 4 |
| 8675 | 89591 | 24 |
| 8676 | 89597 | 6 |
| 8677 | 89599 | 2 |
Questions
What is the 8674th prime number?
89567.
Which prime number is 89567?
89567 is the 8674th prime number.
What is the sum of the first 8674 primes?
367,425,653.