What is the 9698th prime number?
The 9698th prime number is 101273. The next prime is 101279 (a gap of 6) and the one before is 101267.
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 9698th one is 101273.
- 2
101273 is prime because no prime up to ā101273 ā 318.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9698th prime is close to 9698 Ć ln(9698) ā 89024, and here it is 101273.
- 4
101273 has no twin: neither 101271 nor 101275 is prime.
Primes around the 9698th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9695 | 101209 | 2 |
| 9696 | 101221 | 12 |
| 9697 | 101267 | 46 |
| 9698 | 101273 | 6 |
| 9699 | 101279 | 6 |
| 9700 | 101281 | 2 |
| 9701 | 101287 | 6 |
Questions
What is the 9698th prime number?
101273.
Which prime number is 101273?
101273 is the 9698th prime number.
What is the sum of the first 9698 primes?
465,065,789.