What is the 8990th prime number?
The 8990th prime number is 93083. The next prime is 93089 (a gap of 6) and the one before is 93077.
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 8990th one is 93083.
- 2
93083 is prime because no prime up to ā93083 ā 305.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8990th prime is close to 8990 Ć ln(8990) ā 81844, and here it is 93083.
- 4
93083 has no twin: neither 93081 nor 93085 is prime.
Primes around the 8990th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8987 | 93053 | 6 |
| 8988 | 93059 | 6 |
| 8989 | 93077 | 18 |
| 8990 | 93083 | 6 |
| 8991 | 93089 | 6 |
| 8992 | 93097 | 8 |
| 8993 | 93103 | 6 |
Questions
What is the 8990th prime number?
93083.
Which prime number is 93083?
93083 is the 8990th prime number.
What is the sum of the first 8990 primes?
396,288,017.