What is the 9700th prime number?
The 9700th prime number is 101281. The next prime is 101287 (a gap of 6) and the one before is 101279.
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 9700th one is 101281.
- 2
101281 is prime because no prime up to ā101281 ā 318.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9700th prime is close to 9700 Ć ln(9700) ā 89045, and here it is 101281.
- 4
101281 is a twin prime: 101279 and 101281 are both prime.
Primes around the 9700th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9697 | 101267 | 46 |
| 9698 | 101273 | 6 |
| 9699 | 101279 | 6 |
| 9700 | 101281 | 2 |
| 9701 | 101287 | 6 |
| 9702 | 101293 | 6 |
| 9703 | 101323 | 30 |
Questions
What is the 9700th prime number?
101281.
Which prime number is 101281?
101281 is the 9700th prime number.
What is the sum of the first 9700 primes?
465,268,349.