What is the 9702nd prime number?
The 9702nd prime number is 101293. The next prime is 101323 (a gap of 30) and the one before is 101287.
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 9702nd one is 101293.
- 2
101293 is prime because no prime up to ā101293 ā 318.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9702nd prime is close to 9702 Ć ln(9702) ā 89065, and here it is 101293.
- 4
101293 has no twin: neither 101291 nor 101295 is prime.
Primes around the 9702nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9699 | 101279 | 6 |
| 9700 | 101281 | 2 |
| 9701 | 101287 | 6 |
| 9702 | 101293 | 6 |
| 9703 | 101323 | 30 |
| 9704 | 101333 | 10 |
| 9705 | 101341 | 8 |
Questions
What is the 9702nd prime number?
101293.
Which prime number is 101293?
101293 is the 9702nd prime number.
What is the sum of the first 9702 primes?
465,470,929.