What is the 6638th prime number?
The 6638th prime number is 66571. The next prime is 66587 (a gap of 16) and the one before is 66569.
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 6638th one is 66571.
- 2
66571 is prime because no prime up to ā66571 ā 258.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6638th prime is close to 6638 Ć ln(6638) ā 58418, and here it is 66571.
- 4
66571 is a twin prime: 66569 and 66571 are both prime.
Primes around the 6638th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6635 | 66541 | 8 |
| 6636 | 66553 | 12 |
| 6637 | 66569 | 16 |
| 6638 | 66571 | 2 |
| 6639 | 66587 | 16 |
| 6640 | 66593 | 6 |
| 6641 | 66601 | 8 |
Questions
What is the 6638th prime number?
66571.
Which prime number is 66571?
66571 is the 6638th prime number.
What is the sum of the first 6638 primes?
208,626,061.