What is the 4458th prime number?
The 4458th prime number is 42649. The next prime is 42667 (a gap of 18) and the one before is 42643.
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 4458th one is 42649.
- 2
42649 is prime because no prime up to ā42649 ā 206.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4458th prime is close to 4458 Ć ln(4458) ā 37458, and here it is 42649.
- 4
42649 has no twin: neither 42647 nor 42651 is prime.
Primes around the 4458th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4455 | 42611 | 22 |
| 4456 | 42641 | 30 |
| 4457 | 42643 | 2 |
| 4458 | 42649 | 6 |
| 4459 | 42667 | 18 |
| 4460 | 42677 | 10 |
| 4461 | 42683 | 6 |
Questions
What is the 4458th prime number?
42649.
Which prime number is 42649?
42649 is the 4458th prime number.
What is the sum of the first 4458 primes?
89,720,851.