What is the 4425th prime number?
The 4425th prime number is 42331. The next prime is 42337 (a gap of 6) and the one before is 42323.
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 4425th one is 42331.
- 2
42331 is prime because no prime up to ā42331 ā 205.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4425th prime is close to 4425 Ć ln(4425) ā 37148, and here it is 42331.
- 4
42331 has no twin: neither 42329 nor 42333 is prime.
Primes around the 4425th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4422 | 42299 | 6 |
| 4423 | 42307 | 8 |
| 4424 | 42323 | 16 |
| 4425 | 42331 | 8 |
| 4426 | 42337 | 6 |
| 4427 | 42349 | 12 |
| 4428 | 42359 | 10 |
Questions
What is the 4425th prime number?
42331.
Which prime number is 42331?
42331 is the 4425th prime number.
What is the sum of the first 4425 primes?
88,319,036.