What is the 7328th prime number?
The 7328th prime number is 74287. The next prime is 74293 (a gap of 6) and the one before is 74279.
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 7328th one is 74287.
- 2
74287 is prime because no prime up to ā74287 ā 272.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7328th prime is close to 7328 Ć ln(7328) ā 65215, and here it is 74287.
- 4
74287 has no twin: neither 74285 nor 74289 is prime.
Primes around the 7328th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7325 | 74231 | 12 |
| 7326 | 74257 | 26 |
| 7327 | 74279 | 22 |
| 7328 | 74287 | 8 |
| 7329 | 74293 | 6 |
| 7330 | 74297 | 4 |
| 7331 | 74311 | 14 |
Questions
What is the 7328th prime number?
74287.
Which prime number is 74287?
74287 is the 7328th prime number.
What is the sum of the first 7328 primes?
257,222,913.