What is the 9491st prime number?
The 9491st prime number is 98887. The next prime is 98893 (a gap of 6) and the one before is 98873.
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 9491st one is 98887.
- 2
98887 is prime because no prime up to ā98887 ā 314.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9491st prime is close to 9491 Ć ln(9491) ā 86920, and here it is 98887.
- 4
98887 has no twin: neither 98885 nor 98889 is prime.
Primes around the 9491st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9488 | 98867 | 18 |
| 9489 | 98869 | 2 |
| 9490 | 98873 | 4 |
| 9491 | 98887 | 14 |
| 9492 | 98893 | 6 |
| 9493 | 98897 | 4 |
| 9494 | 98899 | 2 |
Questions
What is the 9491st prime number?
98887.
Which prime number is 98887?
98887 is the 9491st prime number.
What is the sum of the first 9491 primes?
444,354,774.