What is the 9891st prime number?
The 9891st prime number is 103511. The next prime is 103529 (a gap of 18) and the one before is 103483.
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 9891st one is 103511.
- 2
103511 is prime because no prime up to ā103511 ā 321.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9891st prime is close to 9891 Ć ln(9891) ā 90991, and here it is 103511.
- 4
103511 has no twin: neither 103509 nor 103513 is prime.
Primes around the 9891st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9888 | 103457 | 6 |
| 9889 | 103471 | 14 |
| 9890 | 103483 | 12 |
| 9891 | 103511 | 28 |
| 9892 | 103529 | 18 |
| 9893 | 103549 | 20 |
| 9894 | 103553 | 4 |
Questions
What is the 9891st prime number?
103511.
Which prime number is 103511?
103511 is the 9891st prime number.
What is the sum of the first 9891 primes?
484,813,850.