What is the 4423rd prime number?
The 4423rd prime number is 42307. The next prime is 42323 (a gap of 16) and the one before is 42299.
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 4423rd one is 42307.
- 2
42307 is prime because no prime up to ā42307 ā 205.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4423rd prime is close to 4423 Ć ln(4423) ā 37129, and here it is 42307.
- 4
42307 has no twin: neither 42305 nor 42309 is prime.
Primes around the 4423rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4420 | 42283 | 2 |
| 4421 | 42293 | 10 |
| 4422 | 42299 | 6 |
| 4423 | 42307 | 8 |
| 4424 | 42323 | 16 |
| 4425 | 42331 | 8 |
| 4426 | 42337 | 6 |
Questions
What is the 4423rd prime number?
42307.
Which prime number is 42307?
42307 is the 4423rd prime number.
What is the sum of the first 4423 primes?
88,234,382.