What is the 6659th prime number?
The 6659th prime number is 66821. The next prime is 66841 (a gap of 20) and the one before is 66809.
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 6659th one is 66821.
- 2
66821 is prime because no prime up to ā66821 ā 258.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6659th prime is close to 6659 Ć ln(6659) ā 58624, and here it is 66821.
- 4
66821 has no twin: neither 66819 nor 66823 is prime.
Primes around the 6659th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6656 | 66791 | 28 |
| 6657 | 66797 | 6 |
| 6658 | 66809 | 12 |
| 6659 | 66821 | 12 |
| 6660 | 66841 | 20 |
| 6661 | 66851 | 10 |
| 6662 | 66853 | 2 |
Questions
What is the 6659th prime number?
66821.
Which prime number is 66821?
66821 is the 6659th prime number.
What is the sum of the first 6659 primes?
210,026,852.