What is the 9712th prime number?
The 9712th prime number is 101411. The next prime is 101419 (a gap of 8) and the one before is 101399.
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 9712th one is 101411.
- 2
101411 is prime because no prime up to ā101411 ā 318.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9712th prime is close to 9712 Ć ln(9712) ā 89167, and here it is 101411.
- 4
101411 has no twin: neither 101409 nor 101413 is prime.
Primes around the 9712th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9709 | 101377 | 14 |
| 9710 | 101383 | 6 |
| 9711 | 101399 | 16 |
| 9712 | 101411 | 12 |
| 9713 | 101419 | 8 |
| 9714 | 101429 | 10 |
| 9715 | 101449 | 20 |
Questions
What is the 9712th prime number?
101411.
Which prime number is 101411?
101411 is the 9712th prime number.
What is the sum of the first 9712 primes?
466,484,565.