What is the 4442nd prime number?
The 4442nd prime number is 42463. The next prime is 42467 (a gap of 4) and the one before is 42461.
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 4442nd one is 42463.
- 2
42463 is prime because no prime up to ā42463 ā 206.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4442nd prime is close to 4442 Ć ln(4442) ā 37308, and here it is 42463.
- 4
42463 is a twin prime: 42461 and 42463 are both prime.
Primes around the 4442nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4439 | 42451 | 8 |
| 4440 | 42457 | 6 |
| 4441 | 42461 | 4 |
| 4442 | 42463 | 2 |
| 4443 | 42467 | 4 |
| 4444 | 42473 | 6 |
| 4445 | 42487 | 14 |
Questions
What is the 4442nd prime number?
42463.
Which prime number is 42463?
42463 is the 4442nd prime number.
What is the sum of the first 4442 primes?
89,039,985.