What is the 4462nd prime number?
The 4462nd prime number is 42689. The next prime is 42697 (a gap of 8) and the one before is 42683.
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 4462nd one is 42689.
- 2
42689 is prime because no prime up to ā42689 ā 206.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4462nd prime is close to 4462 Ć ln(4462) ā 37496, and here it is 42689.
- 4
42689 has no twin: neither 42687 nor 42691 is prime.
Primes around the 4462nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4459 | 42667 | 18 |
| 4460 | 42677 | 10 |
| 4461 | 42683 | 6 |
| 4462 | 42689 | 6 |
| 4463 | 42697 | 8 |
| 4464 | 42701 | 4 |
| 4465 | 42703 | 2 |
Questions
What is the 4462nd prime number?
42689.
Which prime number is 42689?
42689 is the 4462nd prime number.
What is the sum of the first 4462 primes?
89,891,567.