What is the 9701st prime number?
The 9701st prime number is 101287. The next prime is 101293 (a gap of 6) and the one before is 101281.
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 9701st one is 101287.
- 2
101287 is prime because no prime up to ā101287 ā 318.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9701st prime is close to 9701 Ć ln(9701) ā 89055, and here it is 101287.
- 4
101287 has no twin: neither 101285 nor 101289 is prime.
Primes around the 9701st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9698 | 101273 | 6 |
| 9699 | 101279 | 6 |
| 9700 | 101281 | 2 |
| 9701 | 101287 | 6 |
| 9702 | 101293 | 6 |
| 9703 | 101323 | 30 |
| 9704 | 101333 | 10 |
Questions
What is the 9701st prime number?
101287.
Which prime number is 101287?
101287 is the 9701st prime number.
What is the sum of the first 9701 primes?
465,369,636.