What is the 8517th prime number?
The 8517th prime number is 87697. The next prime is 87701 (a gap of 4) and the one before is 87691.
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 8517th one is 87697.
- 2
87697 is prime because no prime up to ā87697 ā 296.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8517th prime is close to 8517 Ć ln(8517) ā 77077, and here it is 87697.
- 4
87697 has no twin: neither 87695 nor 87699 is prime.
Primes around the 8517th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8514 | 87679 | 8 |
| 8515 | 87683 | 4 |
| 8516 | 87691 | 8 |
| 8517 | 87697 | 6 |
| 8518 | 87701 | 4 |
| 8519 | 87719 | 18 |
| 8520 | 87721 | 2 |
Questions
What is the 8517th prime number?
87697.
Which prime number is 87697?
87697 is the 8517th prime number.
What is the sum of the first 8517 primes?
353,501,966.