What is the 4395th prime number?
The 4395th prime number is 42019. The next prime is 42023 (a gap of 4) and the one before is 42017.
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 4395th one is 42019.
- 2
42019 is prime because no prime up to ā42019 ā 204.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4395th prime is close to 4395 Ć ln(4395) ā 36866, and here it is 42019.
- 4
42019 is a twin prime: 42017 and 42019 are both prime.
Primes around the 4395th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4392 | 41999 | 16 |
| 4393 | 42013 | 14 |
| 4394 | 42017 | 4 |
| 4395 | 42019 | 2 |
| 4396 | 42023 | 4 |
| 4397 | 42043 | 20 |
| 4398 | 42061 | 18 |
Questions
What is the 4395th prime number?
42019.
Which prime number is 42019?
42019 is the 4395th prime number.
What is the sum of the first 4395 primes?
87,053,466.