What is the 9718th prime number?
The 9718th prime number is 101483. The next prime is 101489 (a gap of 6) and the one before is 101477.
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 9718th one is 101483.
- 2
101483 is prime because no prime up to ā101483 ā 318.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9718th prime is close to 9718 Ć ln(9718) ā 89228, and here it is 101483.
- 4
101483 has no twin: neither 101481 nor 101485 is prime.
Primes around the 9718th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9715 | 101449 | 20 |
| 9716 | 101467 | 18 |
| 9717 | 101477 | 10 |
| 9718 | 101483 | 6 |
| 9719 | 101489 | 6 |
| 9720 | 101501 | 12 |
| 9721 | 101503 | 2 |
Questions
What is the 9718th prime number?
101483.
Which prime number is 101483?
101483 is the 9718th prime number.
What is the sum of the first 9718 primes?
467,093,289.