What is the 8861st prime number?
The 8861st prime number is 91691. The next prime is 91703 (a gap of 12) and the one before is 91673.
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 8861st one is 91691.
- 2
91691 is prime because no prime up to ā91691 ā 302.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8861st prime is close to 8861 Ć ln(8861) ā 80541, and here it is 91691.
- 4
91691 has no twin: neither 91689 nor 91693 is prime.
Primes around the 8861st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8858 | 91631 | 10 |
| 8859 | 91639 | 8 |
| 8860 | 91673 | 34 |
| 8861 | 91691 | 18 |
| 8862 | 91703 | 12 |
| 8863 | 91711 | 8 |
| 8864 | 91733 | 22 |
Questions
What is the 8861st prime number?
91691.
Which prime number is 91691?
91691 is the 8861st prime number.
What is the sum of the first 8861 primes?
384,367,888.