What is the 6652nd prime number?
The 6652nd prime number is 66739. The next prime is 66749 (a gap of 10) and the one before is 66733.
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 6652nd one is 66739.
- 2
66739 is prime because no prime up to ā66739 ā 258.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6652nd prime is close to 6652 Ć ln(6652) ā 58555, and here it is 66739.
- 4
66739 has no twin: neither 66737 nor 66741 is prime.
Primes around the 6652nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6649 | 66713 | 12 |
| 6650 | 66721 | 8 |
| 6651 | 66733 | 12 |
| 6652 | 66739 | 6 |
| 6653 | 66749 | 10 |
| 6654 | 66751 | 2 |
| 6655 | 66763 | 12 |
Questions
What is the 6652nd prime number?
66739.
Which prime number is 66739?
66739 is the 6652nd prime number.
What is the sum of the first 6652 primes?
209,559,371.