What is the 8687th prime number?
The 8687th prime number is 89681. The next prime is 89689 (a gap of 8) and the one before is 89671.
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 8687th one is 89681.
- 2
89681 is prime because no prime up to ā89681 ā 299.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8687th prime is close to 8687 Ć ln(8687) ā 78787, and here it is 89681.
- 4
89681 has no twin: neither 89679 nor 89683 is prime.
Primes around the 8687th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8684 | 89659 | 2 |
| 8685 | 89669 | 10 |
| 8686 | 89671 | 2 |
| 8687 | 89681 | 10 |
| 8688 | 89689 | 8 |
| 8689 | 89753 | 64 |
| 8690 | 89759 | 6 |
Questions
What is the 8687th prime number?
89681.
Which prime number is 89681?
89681 is the 8687th prime number.
What is the sum of the first 8687 primes?
368,590,904.