What is the 6656th prime number?
The 6656th prime number is 66791. The next prime is 66797 (a gap of 6) and the one before is 66763.
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 6656th one is 66791.
- 2
66791 is prime because no prime up to ā66791 ā 258.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6656th prime is close to 6656 Ć ln(6656) ā 58595, and here it is 66791.
- 4
66791 has no twin: neither 66789 nor 66793 is prime.
Primes around the 6656th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6653 | 66749 | 10 |
| 6654 | 66751 | 2 |
| 6655 | 66763 | 12 |
| 6656 | 66791 | 28 |
| 6657 | 66797 | 6 |
| 6658 | 66809 | 12 |
| 6659 | 66821 | 12 |
Questions
What is the 6656th prime number?
66791.
Which prime number is 66791?
66791 is the 6656th prime number.
What is the sum of the first 6656 primes?
209,826,425.