What is the 7329th prime number?
The 7329th prime number is 74293. The next prime is 74297 (a gap of 4) and the one before is 74287.
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 7329th one is 74293.
- 2
74293 is prime because no prime up to ā74293 ā 272.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7329th prime is close to 7329 Ć ln(7329) ā 65225, and here it is 74293.
- 4
74293 has no twin: neither 74291 nor 74295 is prime.
Primes around the 7329th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7326 | 74257 | 26 |
| 7327 | 74279 | 22 |
| 7328 | 74287 | 8 |
| 7329 | 74293 | 6 |
| 7330 | 74297 | 4 |
| 7331 | 74311 | 14 |
| 7332 | 74317 | 6 |
Questions
What is the 7329th prime number?
74293.
Which prime number is 74293?
74293 is the 7329th prime number.
What is the sum of the first 7329 primes?
257,297,206.