What is the 6769th prime number?
The 6769th prime number is 67957. The next prime is 67961 (a gap of 4) and the one before is 67943.
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 6769th one is 67957.
- 2
67957 is prime because no prime up to ā67957 ā 260.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6769th prime is close to 6769 Ć ln(6769) ā 59703, and here it is 67957.
- 4
67957 has no twin: neither 67955 nor 67959 is prime.
Primes around the 6769th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6766 | 67933 | 2 |
| 6767 | 67939 | 6 |
| 6768 | 67943 | 4 |
| 6769 | 67957 | 14 |
| 6770 | 67961 | 4 |
| 6771 | 67967 | 6 |
| 6772 | 67979 | 12 |
Questions
What is the 6769th prime number?
67957.
Which prime number is 67957?
67957 is the 6769th prime number.
What is the sum of the first 6769 primes?
217,440,732.