What is the 4457th prime number?
The 4457th prime number is 42643. The next prime is 42649 (a gap of 6) and the one before is 42641.
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 4457th one is 42643.
- 2
42643 is prime because no prime up to ā42643 ā 206.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4457th prime is close to 4457 Ć ln(4457) ā 37449, and here it is 42643.
- 4
42643 is a twin prime: 42641 and 42643 are both prime.
Primes around the 4457th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4454 | 42589 | 12 |
| 4455 | 42611 | 22 |
| 4456 | 42641 | 30 |
| 4457 | 42643 | 2 |
| 4458 | 42649 | 6 |
| 4459 | 42667 | 18 |
| 4460 | 42677 | 10 |
Questions
What is the 4457th prime number?
42643.
Which prime number is 42643?
42643 is the 4457th prime number.
What is the sum of the first 4457 primes?
89,678,202.