What is the 6651st prime number?
The 6651st prime number is 66733. The next prime is 66739 (a gap of 6) and the one before is 66721.
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 6651st one is 66733.
- 2
66733 is prime because no prime up to ā66733 ā 258.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6651st prime is close to 6651 Ć ln(6651) ā 58546, and here it is 66733.
- 4
66733 has no twin: neither 66731 nor 66735 is prime.
Primes around the 6651st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6648 | 66701 | 4 |
| 6649 | 66713 | 12 |
| 6650 | 66721 | 8 |
| 6651 | 66733 | 12 |
| 6652 | 66739 | 6 |
| 6653 | 66749 | 10 |
| 6654 | 66751 | 2 |
Questions
What is the 6651st prime number?
66733.
Which prime number is 66733?
66733 is the 6651st prime number.
What is the sum of the first 6651 primes?
209,492,632.