What is the 6658th prime number?
The 6658th prime number is 66809. The next prime is 66821 (a gap of 12) and the one before is 66797.
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 6658th one is 66809.
- 2
66809 is prime because no prime up to ā66809 ā 258.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6658th prime is close to 6658 Ć ln(6658) ā 58614, and here it is 66809.
- 4
66809 has no twin: neither 66807 nor 66811 is prime.
Primes around the 6658th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6655 | 66763 | 12 |
| 6656 | 66791 | 28 |
| 6657 | 66797 | 6 |
| 6658 | 66809 | 12 |
| 6659 | 66821 | 12 |
| 6660 | 66841 | 20 |
| 6661 | 66851 | 10 |
Questions
What is the 6658th prime number?
66809.
Which prime number is 66809?
66809 is the 6658th prime number.
What is the sum of the first 6658 primes?
209,960,031.