What is the 8991st prime number?
The 8991st prime number is 93089. The next prime is 93097 (a gap of 8) and the one before is 93083.
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 8991st one is 93089.
- 2
93089 is prime because no prime up to ā93089 ā 305.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8991st prime is close to 8991 Ć ln(8991) ā 81854, and here it is 93089.
- 4
93089 has no twin: neither 93087 nor 93091 is prime.
Primes around the 8991st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8988 | 93059 | 6 |
| 8989 | 93077 | 18 |
| 8990 | 93083 | 6 |
| 8991 | 93089 | 6 |
| 8992 | 93097 | 8 |
| 8993 | 93103 | 6 |
| 8994 | 93113 | 10 |
Questions
What is the 8991st prime number?
93089.
Which prime number is 93089?
93089 is the 8991st prime number.
What is the sum of the first 8991 primes?
396,381,106.