What is the 7425th prime number?
The 7425th prime number is 75353. The next prime is 75367 (a gap of 14) and the one before is 75347.
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 7425th one is 75353.
- 2
75353 is prime because no prime up to ā75353 ā 274.51 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7425th prime is close to 7425 Ć ln(7425) ā 66176, and here it is 75353.
- 4
75353 has no twin: neither 75351 nor 75355 is prime.
Primes around the 7425th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7422 | 75329 | 6 |
| 7423 | 75337 | 8 |
| 7424 | 75347 | 10 |
| 7425 | 75353 | 6 |
| 7426 | 75367 | 14 |
| 7427 | 75377 | 10 |
| 7428 | 75389 | 12 |
Questions
What is the 7425th prime number?
75353.
Which prime number is 75353?
75353 is the 7425th prime number.
What is the sum of the first 7425 primes?
264,480,084.