What is the 8992nd prime number?
The 8992nd prime number is 93097. The next prime is 93103 (a gap of 6) and the one before is 93089.
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 8992nd one is 93097.
- 2
93097 is prime because no prime up to ā93097 ā 305.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8992nd prime is close to 8992 Ć ln(8992) ā 81864, and here it is 93097.
- 4
93097 has no twin: neither 93095 nor 93099 is prime.
Primes around the 8992nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8989 | 93077 | 18 |
| 8990 | 93083 | 6 |
| 8991 | 93089 | 6 |
| 8992 | 93097 | 8 |
| 8993 | 93103 | 6 |
| 8994 | 93113 | 10 |
| 8995 | 93131 | 18 |
Questions
What is the 8992nd prime number?
93097.
Which prime number is 93097?
93097 is the 8992nd prime number.
What is the sum of the first 8992 primes?
396,474,203.