What is the 9002nd prime number?
The 9002nd prime number is 93199. The next prime is 93229 (a gap of 30) and the one before is 93187.
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 9002nd one is 93199.
- 2
93199 is prime because no prime up to ā93199 ā 305.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9002nd prime is close to 9002 Ć ln(9002) ā 81965, and here it is 93199.
- 4
93199 has no twin: neither 93197 nor 93201 is prime.
Primes around the 9002nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8999 | 93169 | 18 |
| 9000 | 93179 | 10 |
| 9001 | 93187 | 8 |
| 9002 | 93199 | 12 |
| 9003 | 93229 | 30 |
| 9004 | 93239 | 10 |
| 9005 | 93241 | 2 |
Questions
What is the 9002nd prime number?
93199.
Which prime number is 93199?
93199 is the 9002nd prime number.
What is the sum of the first 9002 primes?
397,405,707.