What is the 8903rd prime number?
The 8903rd prime number is 92189. The next prime is 92203 (a gap of 14) and the one before is 92179.
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 8903rd one is 92189.
- 2
92189 is prime because no prime up to ā92189 ā 303.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8903rd prime is close to 8903 Ć ln(8903) ā 80965, and here it is 92189.
- 4
92189 has no twin: neither 92187 nor 92191 is prime.
Primes around the 8903rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8900 | 92173 | 20 |
| 8901 | 92177 | 4 |
| 8902 | 92179 | 2 |
| 8903 | 92189 | 10 |
| 8904 | 92203 | 14 |
| 8905 | 92219 | 16 |
| 8906 | 92221 | 2 |
Questions
What is the 8903rd prime number?
92189.
Which prime number is 92189?
92189 is the 8903rd prime number.
What is the sum of the first 8903 primes?
388,229,732.