What is the 8997th prime number?
The 8997th prime number is 93139. The next prime is 93151 (a gap of 12) and the one before is 93133.
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 8997th one is 93139.
- 2
93139 is prime because no prime up to ā93139 ā 305.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8997th prime is close to 8997 Ć ln(8997) ā 81915, and here it is 93139.
- 4
93139 has no twin: neither 93137 nor 93141 is prime.
Primes around the 8997th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8994 | 93113 | 10 |
| 8995 | 93131 | 18 |
| 8996 | 93133 | 2 |
| 8997 | 93139 | 6 |
| 8998 | 93151 | 12 |
| 8999 | 93169 | 18 |
| 9000 | 93179 | 10 |
Questions
What is the 8997th prime number?
93139.
Which prime number is 93139?
93139 is the 8997th prime number.
What is the sum of the first 8997 primes?
396,939,822.