What is the 4422nd prime number?
The 4422nd prime number is 42299. The next prime is 42307 (a gap of 8) and the one before is 42293.
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 4422nd one is 42299.
- 2
42299 is prime because no prime up to ā42299 ā 205.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4422nd prime is close to 4422 Ć ln(4422) ā 37120, and here it is 42299.
- 4
42299 has no twin: neither 42297 nor 42301 is prime.
Primes around the 4422nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4419 | 42281 | 24 |
| 4420 | 42283 | 2 |
| 4421 | 42293 | 10 |
| 4422 | 42299 | 6 |
| 4423 | 42307 | 8 |
| 4424 | 42323 | 16 |
| 4425 | 42331 | 8 |
Questions
What is the 4422nd prime number?
42299.
Which prime number is 42299?
42299 is the 4422nd prime number.
What is the sum of the first 4422 primes?
88,192,075.