What is the 9452nd prime number?
The 9452nd prime number is 98429. The next prime is 98443 (a gap of 14) and the one before is 98419.
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 9452nd one is 98429.
- 2
98429 is prime because no prime up to ā98429 ā 313.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9452nd prime is close to 9452 Ć ln(9452) ā 86523, and here it is 98429.
- 4
98429 has no twin: neither 98427 nor 98431 is prime.
Primes around the 9452nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9449 | 98407 | 18 |
| 9450 | 98411 | 4 |
| 9451 | 98419 | 8 |
| 9452 | 98429 | 10 |
| 9453 | 98443 | 14 |
| 9454 | 98453 | 10 |
| 9455 | 98459 | 6 |
Questions
What is the 9452nd prime number?
98429.
Which prime number is 98429?
98429 is the 9452nd prime number.
What is the sum of the first 9452 primes?
440,507,075.