What is the 9717th prime number?
The 9717th prime number is 101477. The next prime is 101483 (a gap of 6) and the one before is 101467.
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 9717th one is 101477.
- 2
101477 is prime because no prime up to ā101477 ā 318.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9717th prime is close to 9717 Ć ln(9717) ā 89218, and here it is 101477.
- 4
101477 has no twin: neither 101475 nor 101479 is prime.
Primes around the 9717th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9714 | 101429 | 10 |
| 9715 | 101449 | 20 |
| 9716 | 101467 | 18 |
| 9717 | 101477 | 10 |
| 9718 | 101483 | 6 |
| 9719 | 101489 | 6 |
| 9720 | 101501 | 12 |
Questions
What is the 9717th prime number?
101477.
Which prime number is 101477?
101477 is the 9717th prime number.
What is the sum of the first 9717 primes?
466,991,806.