What is the 8996th prime number?
The 8996th prime number is 93133. The next prime is 93139 (a gap of 6) and the one before is 93131.
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 8996th one is 93133.
- 2
93133 is prime because no prime up to ā93133 ā 305.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8996th prime is close to 8996 Ć ln(8996) ā 81904, and here it is 93133.
- 4
93133 is a twin prime: 93131 and 93133 are both prime.
Primes around the 8996th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8993 | 93103 | 6 |
| 8994 | 93113 | 10 |
| 8995 | 93131 | 18 |
| 8996 | 93133 | 2 |
| 8997 | 93139 | 6 |
| 8998 | 93151 | 12 |
| 8999 | 93169 | 18 |
Questions
What is the 8996th prime number?
93133.
Which prime number is 93133?
93133 is the 8996th prime number.
What is the sum of the first 8996 primes?
396,846,683.