What is the 4444th prime number?
The 4444th prime number is 42473. The next prime is 42487 (a gap of 14) and the one before is 42467.
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 4444th one is 42473.
- 2
42473 is prime because no prime up to ā42473 ā 206.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4444th prime is close to 4444 Ć ln(4444) ā 37327, and here it is 42473.
- 4
42473 has no twin: neither 42471 nor 42475 is prime.
Primes around the 4444th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4441 | 42461 | 4 |
| 4442 | 42463 | 2 |
| 4443 | 42467 | 4 |
| 4444 | 42473 | 6 |
| 4445 | 42487 | 14 |
| 4446 | 42491 | 4 |
| 4447 | 42499 | 8 |
Questions
What is the 4444th prime number?
42473.
Which prime number is 42473?
42473 is the 4444th prime number.
What is the sum of the first 4444 primes?
89,124,925.