What is the 8675th prime number?
The 8675th prime number is 89591. The next prime is 89597 (a gap of 6) and the one before is 89567.
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 8675th one is 89591.
- 2
89591 is prime because no prime up to ā89591 ā 299.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8675th prime is close to 8675 Ć ln(8675) ā 78667, and here it is 89591.
- 4
89591 has no twin: neither 89589 nor 89593 is prime.
Primes around the 8675th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8672 | 89561 | 28 |
| 8673 | 89563 | 2 |
| 8674 | 89567 | 4 |
| 8675 | 89591 | 24 |
| 8676 | 89597 | 6 |
| 8677 | 89599 | 2 |
| 8678 | 89603 | 4 |
Questions
What is the 8675th prime number?
89591.
Which prime number is 89591?
89591 is the 8675th prime number.
What is the sum of the first 8675 primes?
367,515,244.