What is the 4424th prime number?
The 4424th prime number is 42323. The next prime is 42331 (a gap of 8) and the one before is 42307.
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 4424th one is 42323.
- 2
42323 is prime because no prime up to ā42323 ā 205.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4424th prime is close to 4424 Ć ln(4424) ā 37139, and here it is 42323.
- 4
42323 has no twin: neither 42321 nor 42325 is prime.
Primes around the 4424th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4421 | 42293 | 10 |
| 4422 | 42299 | 6 |
| 4423 | 42307 | 8 |
| 4424 | 42323 | 16 |
| 4425 | 42331 | 8 |
| 4426 | 42337 | 6 |
| 4427 | 42349 | 12 |
Questions
What is the 4424th prime number?
42323.
Which prime number is 42323?
42323 is the 4424th prime number.
What is the sum of the first 4424 primes?
88,276,705.