What is the 7330th prime number?
The 7330th prime number is 74297. The next prime is 74311 (a gap of 14) and the one before is 74293.
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 7330th one is 74297.
- 2
74297 is prime because no prime up to ā74297 ā 272.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7330th prime is close to 7330 Ć ln(7330) ā 65235, and here it is 74297.
- 4
74297 has no twin: neither 74295 nor 74299 is prime.
Primes around the 7330th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7327 | 74279 | 22 |
| 7328 | 74287 | 8 |
| 7329 | 74293 | 6 |
| 7330 | 74297 | 4 |
| 7331 | 74311 | 14 |
| 7332 | 74317 | 6 |
| 7333 | 74323 | 6 |
Questions
What is the 7330th prime number?
74297.
Which prime number is 74297?
74297 is the 7330th prime number.
What is the sum of the first 7330 primes?
257,371,503.