What is the 9703rd prime number?
The 9703rd prime number is 101323. The next prime is 101333 (a gap of 10) and the one before is 101293.
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 9703rd one is 101323.
- 2
101323 is prime because no prime up to ā101323 ā 318.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9703rd prime is close to 9703 Ć ln(9703) ā 89075, and here it is 101323.
- 4
101323 has no twin: neither 101321 nor 101325 is prime.
Primes around the 9703rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9700 | 101281 | 2 |
| 9701 | 101287 | 6 |
| 9702 | 101293 | 6 |
| 9703 | 101323 | 30 |
| 9704 | 101333 | 10 |
| 9705 | 101341 | 8 |
| 9706 | 101347 | 6 |
Questions
What is the 9703rd prime number?
101323.
Which prime number is 101323?
101323 is the 9703rd prime number.
What is the sum of the first 9703 primes?
465,572,252.