What is the 6637th prime number?
The 6637th prime number is 66569. The next prime is 66571 (a gap of 2) and the one before is 66553.
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 6637th one is 66569.
- 2
66569 is prime because no prime up to ā66569 ā 258.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6637th prime is close to 6637 Ć ln(6637) ā 58408, and here it is 66569.
- 4
66569 is a twin prime: 66569 and 66571 are both prime.
Primes around the 6637th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6634 | 66533 | 4 |
| 6635 | 66541 | 8 |
| 6636 | 66553 | 12 |
| 6637 | 66569 | 16 |
| 6638 | 66571 | 2 |
| 6639 | 66587 | 16 |
| 6640 | 66593 | 6 |
Questions
What is the 6637th prime number?
66569.
Which prime number is 66569?
66569 is the 6637th prime number.
What is the sum of the first 6637 primes?
208,559,490.