What is the 8998th prime number?
The 8998th prime number is 93151. The next prime is 93169 (a gap of 18) and the one before is 93139.
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 8998th one is 93151.
- 2
93151 is prime because no prime up to ā93151 ā 305.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8998th prime is close to 8998 Ć ln(8998) ā 81925, and here it is 93151.
- 4
93151 has no twin: neither 93149 nor 93153 is prime.
Primes around the 8998th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8995 | 93131 | 18 |
| 8996 | 93133 | 2 |
| 8997 | 93139 | 6 |
| 8998 | 93151 | 12 |
| 8999 | 93169 | 18 |
| 9000 | 93179 | 10 |
| 9001 | 93187 | 8 |
Questions
What is the 8998th prime number?
93151.
Which prime number is 93151?
93151 is the 8998th prime number.
What is the sum of the first 8998 primes?
397,032,973.