What is the 6909th prime number?
The 6909th prime number is 69677. The next prime is 69691 (a gap of 14) and the one before is 69661.
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 6909th one is 69677.
- 2
69677 is prime because no prime up to ā69677 ā 263.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6909th prime is close to 6909 Ć ln(6909) ā 61080, and here it is 69677.
- 4
69677 has no twin: neither 69675 nor 69679 is prime.
Primes around the 6909th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6906 | 69623 | 30 |
| 6907 | 69653 | 30 |
| 6908 | 69661 | 8 |
| 6909 | 69677 | 16 |
| 6910 | 69691 | 14 |
| 6911 | 69697 | 6 |
| 6912 | 69709 | 12 |
Questions
What is the 6909th prime number?
69677.
Which prime number is 69677?
69677 is the 6909th prime number.
What is the sum of the first 6909 primes?
227,074,658.