What is the 9003rd prime number?
The 9003rd prime number is 93229. The next prime is 93239 (a gap of 10) and the one before is 93199.
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 9003rd one is 93229.
- 2
93229 is prime because no prime up to ā93229 ā 305.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9003rd prime is close to 9003 Ć ln(9003) ā 81975, and here it is 93229.
- 4
93229 has no twin: neither 93227 nor 93231 is prime.
Primes around the 9003rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9000 | 93179 | 10 |
| 9001 | 93187 | 8 |
| 9002 | 93199 | 12 |
| 9003 | 93229 | 30 |
| 9004 | 93239 | 10 |
| 9005 | 93241 | 2 |
| 9006 | 93251 | 10 |
Questions
What is the 9003rd prime number?
93229.
Which prime number is 93229?
93229 is the 9003rd prime number.
What is the sum of the first 9003 primes?
397,498,936.