What is the 6635th prime number?
The 6635th prime number is 66541. The next prime is 66553 (a gap of 12) and the one before is 66533.
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 6635th one is 66541.
- 2
66541 is prime because no prime up to ā66541 ā 257.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6635th prime is close to 6635 Ć ln(6635) ā 58389, and here it is 66541.
- 4
66541 has no twin: neither 66539 nor 66543 is prime.
Primes around the 6635th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6632 | 66523 | 14 |
| 6633 | 66529 | 6 |
| 6634 | 66533 | 4 |
| 6635 | 66541 | 8 |
| 6636 | 66553 | 12 |
| 6637 | 66569 | 16 |
| 6638 | 66571 | 2 |
Questions
What is the 6635th prime number?
66541.
Which prime number is 66541?
66541 is the 6635th prime number.
What is the sum of the first 6635 primes?
208,426,368.