What is the 8989th prime number?
The 8989th prime number is 93077. The next prime is 93083 (a gap of 6) and the one before is 93059.
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 8989th one is 93077.
- 2
93077 is prime because no prime up to ā93077 ā 305.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8989th prime is close to 8989 Ć ln(8989) ā 81834, and here it is 93077.
- 4
93077 has no twin: neither 93075 nor 93079 is prime.
Primes around the 8989th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8986 | 93047 | 46 |
| 8987 | 93053 | 6 |
| 8988 | 93059 | 6 |
| 8989 | 93077 | 18 |
| 8990 | 93083 | 6 |
| 8991 | 93089 | 6 |
| 8992 | 93097 | 8 |
Questions
What is the 8989th prime number?
93077.
Which prime number is 93077?
93077 is the 8989th prime number.
What is the sum of the first 8989 primes?
396,194,934.