What is the 9711th prime number?
The 9711th prime number is 101399. The next prime is 101411 (a gap of 12) and the one before is 101383.
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 9711th one is 101399.
- 2
101399 is prime because no prime up to ā101399 ā 318.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9711th prime is close to 9711 Ć ln(9711) ā 89157, and here it is 101399.
- 4
101399 has no twin: neither 101397 nor 101401 is prime.
Primes around the 9711th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9708 | 101363 | 4 |
| 9709 | 101377 | 14 |
| 9710 | 101383 | 6 |
| 9711 | 101399 | 16 |
| 9712 | 101411 | 12 |
| 9713 | 101419 | 8 |
| 9714 | 101429 | 10 |
Questions
What is the 9711th prime number?
101399.
Which prime number is 101399?
101399 is the 9711th prime number.
What is the sum of the first 9711 primes?
466,383,154.