What is the 9699th prime number?
The 9699th prime number is 101279. The next prime is 101281 (a gap of 2) and the one before is 101273.
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 9699th one is 101279.
- 2
101279 is prime because no prime up to ā101279 ā 318.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9699th prime is close to 9699 Ć ln(9699) ā 89035, and here it is 101279.
- 4
101279 is a twin prime: 101279 and 101281 are both prime.
Primes around the 9699th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9696 | 101221 | 12 |
| 9697 | 101267 | 46 |
| 9698 | 101273 | 6 |
| 9699 | 101279 | 6 |
| 9700 | 101281 | 2 |
| 9701 | 101287 | 6 |
| 9702 | 101293 | 6 |
Questions
What is the 9699th prime number?
101279.
Which prime number is 101279?
101279 is the 9699th prime number.
What is the sum of the first 9699 primes?
465,167,068.