What is the 8898th prime number?
The 8898th prime number is 92143. The next prime is 92153 (a gap of 10) and the one before is 92119.
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 8898th one is 92143.
- 2
92143 is prime because no prime up to ā92143 ā 303.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8898th prime is close to 8898 Ć ln(8898) ā 80915, and here it is 92143.
- 4
92143 has no twin: neither 92141 nor 92145 is prime.
Primes around the 8898th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8895 | 92107 | 24 |
| 8896 | 92111 | 4 |
| 8897 | 92119 | 8 |
| 8898 | 92143 | 24 |
| 8899 | 92153 | 10 |
| 8900 | 92173 | 20 |
| 8901 | 92177 | 4 |
Questions
What is the 8898th prime number?
92143.
Which prime number is 92143?
92143 is the 8898th prime number.
What is the sum of the first 8898 primes?
387,768,861.