What is the 6657th prime number?
The 6657th prime number is 66797. The next prime is 66809 (a gap of 12) and the one before is 66791.
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 6657th one is 66797.
- 2
66797 is prime because no prime up to ā66797 ā 258.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6657th prime is close to 6657 Ć ln(6657) ā 58604, and here it is 66797.
- 4
66797 has no twin: neither 66795 nor 66799 is prime.
Primes around the 6657th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6654 | 66751 | 2 |
| 6655 | 66763 | 12 |
| 6656 | 66791 | 28 |
| 6657 | 66797 | 6 |
| 6658 | 66809 | 12 |
| 6659 | 66821 | 12 |
| 6660 | 66841 | 20 |
Questions
What is the 6657th prime number?
66797.
Which prime number is 66797?
66797 is the 6657th prime number.
What is the sum of the first 6657 primes?
209,893,222.