What is the 8900th prime number?
The 8900th prime number is 92173. The next prime is 92177 (a gap of 4) and the one before is 92153.
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 8900th one is 92173.
- 2
92173 is prime because no prime up to ā92173 ā 303.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8900th prime is close to 8900 Ć ln(8900) ā 80935, and here it is 92173.
- 4
92173 has no twin: neither 92171 nor 92175 is prime.
Primes around the 8900th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8897 | 92119 | 8 |
| 8898 | 92143 | 24 |
| 8899 | 92153 | 10 |
| 8900 | 92173 | 20 |
| 8901 | 92177 | 4 |
| 8902 | 92179 | 2 |
| 8903 | 92189 | 10 |
Questions
What is the 8900th prime number?
92173.
Which prime number is 92173?
92173 is the 8900th prime number.
What is the sum of the first 8900 primes?
387,953,187.