What is the 4399th prime number?
The 4399th prime number is 42071. The next prime is 42073 (a gap of 2) and the one before is 42061.
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 4399th one is 42071.
- 2
42071 is prime because no prime up to ā42071 ā 205.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4399th prime is close to 4399 Ć ln(4399) ā 36904, and here it is 42071.
- 4
42071 is a twin prime: 42071 and 42073 are both prime.
Primes around the 4399th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4396 | 42023 | 4 |
| 4397 | 42043 | 20 |
| 4398 | 42061 | 18 |
| 4399 | 42071 | 10 |
| 4400 | 42073 | 2 |
| 4401 | 42083 | 10 |
| 4402 | 42089 | 6 |
Questions
What is the 4399th prime number?
42071.
Which prime number is 42071?
42071 is the 4399th prime number.
What is the sum of the first 4399 primes?
87,221,664.