What is the 4441st prime number?
The 4441st prime number is 42461. The next prime is 42463 (a gap of 2) and the one before is 42457.
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 4441st one is 42461.
- 2
42461 is prime because no prime up to ā42461 ā 206.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4441st prime is close to 4441 Ć ln(4441) ā 37298, and here it is 42461.
- 4
42461 is a twin prime: 42461 and 42463 are both prime.
Primes around the 4441st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4438 | 42443 | 6 |
| 4439 | 42451 | 8 |
| 4440 | 42457 | 6 |
| 4441 | 42461 | 4 |
| 4442 | 42463 | 2 |
| 4443 | 42467 | 4 |
| 4444 | 42473 | 6 |
Questions
What is the 4441st prime number?
42461.
Which prime number is 42461?
42461 is the 4441st prime number.
What is the sum of the first 4441 primes?
88,997,522.