What is the 4397th prime number?
The 4397th prime number is 42043. The next prime is 42061 (a gap of 18) and the one before is 42023.
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 4397th one is 42043.
- 2
42043 is prime because no prime up to ā42043 ā 205.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4397th prime is close to 4397 Ć ln(4397) ā 36885, and here it is 42043.
- 4
42043 has no twin: neither 42041 nor 42045 is prime.
Primes around the 4397th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4394 | 42017 | 4 |
| 4395 | 42019 | 2 |
| 4396 | 42023 | 4 |
| 4397 | 42043 | 20 |
| 4398 | 42061 | 18 |
| 4399 | 42071 | 10 |
| 4400 | 42073 | 2 |
Questions
What is the 4397th prime number?
42043.
Which prime number is 42043?
42043 is the 4397th prime number.
What is the sum of the first 4397 primes?
87,137,532.