What is the 9481st prime number?
The 9481st prime number is 98773. The next prime is 98779 (a gap of 6) and the one before is 98737.
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 9481st one is 98773.
- 2
98773 is prime because no prime up to ā98773 ā 314.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9481st prime is close to 9481 Ć ln(9481) ā 86818, and here it is 98773.
- 4
98773 has no twin: neither 98771 nor 98775 is prime.
Primes around the 9481st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9478 | 98729 | 12 |
| 9479 | 98731 | 2 |
| 9480 | 98737 | 6 |
| 9481 | 98773 | 36 |
| 9482 | 98779 | 6 |
| 9483 | 98801 | 22 |
| 9484 | 98807 | 6 |
Questions
What is the 9481st prime number?
98773.
Which prime number is 98773?
98773 is the 9481st prime number.
What is the sum of the first 9481 primes?
443,366,396.