What is the 9567th prime number?
The 9567th prime number is 99713. The next prime is 99719 (a gap of 6) and the one before is 99709.
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 9567th one is 99713.
- 2
99713 is prime because no prime up to ā99713 ā 315.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9567th prime is close to 9567 Ć ln(9567) ā 87692, and here it is 99713.
- 4
99713 has no twin: neither 99711 nor 99715 is prime.
Primes around the 9567th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9564 | 99689 | 10 |
| 9565 | 99707 | 18 |
| 9566 | 99709 | 2 |
| 9567 | 99713 | 4 |
| 9568 | 99719 | 6 |
| 9569 | 99721 | 2 |
| 9570 | 99733 | 12 |
Questions
What is the 9567th prime number?
99713.
Which prime number is 99713?
99713 is the 9567th prime number.
What is the sum of the first 9567 primes?
451,900,246.