What is the 9710th prime number?
The 9710th prime number is 101383. The next prime is 101399 (a gap of 16) and the one before is 101377.
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 9710th one is 101383.
- 2
101383 is prime because no prime up to ā101383 ā 318.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9710th prime is close to 9710 Ć ln(9710) ā 89147, and here it is 101383.
- 4
101383 has no twin: neither 101381 nor 101385 is prime.
Primes around the 9710th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9707 | 101359 | 12 |
| 9708 | 101363 | 4 |
| 9709 | 101377 | 14 |
| 9710 | 101383 | 6 |
| 9711 | 101399 | 16 |
| 9712 | 101411 | 12 |
| 9713 | 101419 | 8 |
Questions
What is the 9710th prime number?
101383.
Which prime number is 101383?
101383 is the 9710th prime number.
What is the sum of the first 9710 primes?
466,281,755.