What is the 4440th prime number?
The 4440th prime number is 42457. The next prime is 42461 (a gap of 4) and the one before is 42451.
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 4440th one is 42457.
- 2
42457 is prime because no prime up to ā42457 ā 206.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4440th prime is close to 4440 Ć ln(4440) ā 37289, and here it is 42457.
- 4
42457 has no twin: neither 42455 nor 42459 is prime.
Primes around the 4440th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4437 | 42437 | 4 |
| 4438 | 42443 | 6 |
| 4439 | 42451 | 8 |
| 4440 | 42457 | 6 |
| 4441 | 42461 | 4 |
| 4442 | 42463 | 2 |
| 4443 | 42467 | 4 |
Questions
What is the 4440th prime number?
42457.
Which prime number is 42457?
42457 is the 4440th prime number.
What is the sum of the first 4440 primes?
88,955,061.