What is the 6642nd prime number?
The 6642nd prime number is 66617. The next prime is 66629 (a gap of 12) and the one before is 66601.
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 6642nd one is 66617.
- 2
66617 is prime because no prime up to ā66617 ā 258.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6642nd prime is close to 6642 Ć ln(6642) ā 58457, and here it is 66617.
- 4
66617 has no twin: neither 66615 nor 66619 is prime.
Primes around the 6642nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6639 | 66587 | 16 |
| 6640 | 66593 | 6 |
| 6641 | 66601 | 8 |
| 6642 | 66617 | 16 |
| 6643 | 66629 | 12 |
| 6644 | 66643 | 14 |
| 6645 | 66653 | 10 |
Questions
What is the 6642nd prime number?
66617.
Which prime number is 66617?
66617 is the 6642nd prime number.
What is the sum of the first 6642 primes?
208,892,459.