What is the 7424th prime number?
The 7424th prime number is 75347. The next prime is 75353 (a gap of 6) and the one before is 75337.
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 7424th one is 75347.
- 2
75347 is prime because no prime up to ā75347 ā 274.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7424th prime is close to 7424 Ć ln(7424) ā 66166, and here it is 75347.
- 4
75347 has no twin: neither 75345 nor 75349 is prime.
Primes around the 7424th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7421 | 75323 | 16 |
| 7422 | 75329 | 6 |
| 7423 | 75337 | 8 |
| 7424 | 75347 | 10 |
| 7425 | 75353 | 6 |
| 7426 | 75367 | 14 |
| 7427 | 75377 | 10 |
Questions
What is the 7424th prime number?
75347.
Which prime number is 75347?
75347 is the 7424th prime number.
What is the sum of the first 7424 primes?
264,404,731.