What is the 4450th prime number?
The 4450th prime number is 42557. The next prime is 42569 (a gap of 12) and the one before is 42533.
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 4450th one is 42557.
- 2
42557 is prime because no prime up to ā42557 ā 206.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4450th prime is close to 4450 Ć ln(4450) ā 37383, and here it is 42557.
- 4
42557 has no twin: neither 42555 nor 42559 is prime.
Primes around the 4450th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4447 | 42499 | 8 |
| 4448 | 42509 | 10 |
| 4449 | 42533 | 24 |
| 4450 | 42557 | 24 |
| 4451 | 42569 | 12 |
| 4452 | 42571 | 2 |
| 4453 | 42577 | 6 |
Questions
What is the 4450th prime number?
42557.
Which prime number is 42557?
42557 is the 4450th prime number.
What is the sum of the first 4450 primes?
89,380,001.