What is the 4445th prime number?
The 4445th prime number is 42487. The next prime is 42491 (a gap of 4) and the one before is 42473.
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 4445th one is 42487.
- 2
42487 is prime because no prime up to ā42487 ā 206.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4445th prime is close to 4445 Ć ln(4445) ā 37336, and here it is 42487.
- 4
42487 has no twin: neither 42485 nor 42489 is prime.
Primes around the 4445th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4442 | 42463 | 2 |
| 4443 | 42467 | 4 |
| 4444 | 42473 | 6 |
| 4445 | 42487 | 14 |
| 4446 | 42491 | 4 |
| 4447 | 42499 | 8 |
| 4448 | 42509 | 10 |
Questions
What is the 4445th prime number?
42487.
Which prime number is 42487?
42487 is the 4445th prime number.
What is the sum of the first 4445 primes?
89,167,412.