What is the 9713th prime number?
The 9713th prime number is 101419. The next prime is 101429 (a gap of 10) and the one before is 101411.
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 9713th one is 101419.
- 2
101419 is prime because no prime up to ā101419 ā 318.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9713th prime is close to 9713 Ć ln(9713) ā 89177, and here it is 101419.
- 4
101419 has no twin: neither 101417 nor 101421 is prime.
Primes around the 9713th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9710 | 101383 | 6 |
| 9711 | 101399 | 16 |
| 9712 | 101411 | 12 |
| 9713 | 101419 | 8 |
| 9714 | 101429 | 10 |
| 9715 | 101449 | 20 |
| 9716 | 101467 | 18 |
Questions
What is the 9713th prime number?
101419.
Which prime number is 101419?
101419 is the 9713th prime number.
What is the sum of the first 9713 primes?
466,585,984.