What is the 9716th prime number?
The 9716th prime number is 101467. The next prime is 101477 (a gap of 10) and the one before is 101449.
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 9716th one is 101467.
- 2
101467 is prime because no prime up to ā101467 ā 318.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9716th prime is close to 9716 Ć ln(9716) ā 89208, and here it is 101467.
- 4
101467 has no twin: neither 101465 nor 101469 is prime.
Primes around the 9716th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9713 | 101419 | 8 |
| 9714 | 101429 | 10 |
| 9715 | 101449 | 20 |
| 9716 | 101467 | 18 |
| 9717 | 101477 | 10 |
| 9718 | 101483 | 6 |
| 9719 | 101489 | 6 |
Questions
What is the 9716th prime number?
101467.
Which prime number is 101467?
101467 is the 9716th prime number.
What is the sum of the first 9716 primes?
466,890,329.