What is the 8904th prime number?
The 8904th prime number is 92203. The next prime is 92219 (a gap of 16) and the one before is 92189.
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 8904th one is 92203.
- 2
92203 is prime because no prime up to ā92203 ā 303.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8904th prime is close to 8904 Ć ln(8904) ā 80975, and here it is 92203.
- 4
92203 has no twin: neither 92201 nor 92205 is prime.
Primes around the 8904th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8901 | 92177 | 4 |
| 8902 | 92179 | 2 |
| 8903 | 92189 | 10 |
| 8904 | 92203 | 14 |
| 8905 | 92219 | 16 |
| 8906 | 92221 | 2 |
| 8907 | 92227 | 6 |
Questions
What is the 8904th prime number?
92203.
Which prime number is 92203?
92203 is the 8904th prime number.
What is the sum of the first 8904 primes?
388,321,935.