What is the 8673rd prime number?
The 8673rd prime number is 89563. The next prime is 89567 (a gap of 4) and the one before is 89561.
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 8673rd one is 89563.
- 2
89563 is prime because no prime up to ā89563 ā 299.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8673rd prime is close to 8673 Ć ln(8673) ā 78647, and here it is 89563.
- 4
89563 is a twin prime: 89561 and 89563 are both prime.
Primes around the 8673rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8670 | 89527 | 6 |
| 8671 | 89533 | 6 |
| 8672 | 89561 | 28 |
| 8673 | 89563 | 2 |
| 8674 | 89567 | 4 |
| 8675 | 89591 | 24 |
| 8676 | 89597 | 6 |
Questions
What is the 8673rd prime number?
89563.
Which prime number is 89563?
89563 is the 8673rd prime number.
What is the sum of the first 8673 primes?
367,336,086.