What is the 4394th prime number?
The 4394th prime number is 42017. The next prime is 42019 (a gap of 2) and the one before is 42013.
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 4394th one is 42017.
- 2
42017 is prime because no prime up to ā42017 ā 204.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4394th prime is close to 4394 Ć ln(4394) ā 36857, and here it is 42017.
- 4
42017 is a twin prime: 42017 and 42019 are both prime.
Primes around the 4394th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4391 | 41983 | 2 |
| 4392 | 41999 | 16 |
| 4393 | 42013 | 14 |
| 4394 | 42017 | 4 |
| 4395 | 42019 | 2 |
| 4396 | 42023 | 4 |
| 4397 | 42043 | 20 |
Questions
What is the 4394th prime number?
42017.
Which prime number is 42017?
42017 is the 4394th prime number.
What is the sum of the first 4394 primes?
87,011,447.