What is the 4439th prime number?
The 4439th prime number is 42451. The next prime is 42457 (a gap of 6) and the one before is 42443.
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 4439th one is 42451.
- 2
42451 is prime because no prime up to ā42451 ā 206.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4439th prime is close to 4439 Ć ln(4439) ā 37280, and here it is 42451.
- 4
42451 has no twin: neither 42449 nor 42453 is prime.
Primes around the 4439th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4436 | 42433 | 24 |
| 4437 | 42437 | 4 |
| 4438 | 42443 | 6 |
| 4439 | 42451 | 8 |
| 4440 | 42457 | 6 |
| 4441 | 42461 | 4 |
| 4442 | 42463 | 2 |
Questions
What is the 4439th prime number?
42451.
Which prime number is 42451?
42451 is the 4439th prime number.
What is the sum of the first 4439 primes?
88,912,604.