What is the 4438th prime number?
The 4438th prime number is 42443. The next prime is 42451 (a gap of 8) and the one before is 42437.
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 4438th one is 42443.
- 2
42443 is prime because no prime up to ā42443 ā 206.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4438th prime is close to 4438 Ć ln(4438) ā 37270, and here it is 42443.
- 4
42443 has no twin: neither 42441 nor 42445 is prime.
Primes around the 4438th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4435 | 42409 | 2 |
| 4436 | 42433 | 24 |
| 4437 | 42437 | 4 |
| 4438 | 42443 | 6 |
| 4439 | 42451 | 8 |
| 4440 | 42457 | 6 |
| 4441 | 42461 | 4 |
Questions
What is the 4438th prime number?
42443.
Which prime number is 42443?
42443 is the 4438th prime number.
What is the sum of the first 4438 primes?
88,870,153.