What is the 6771st prime number?
The 6771st prime number is 67967. The next prime is 67979 (a gap of 12) and the one before is 67961.
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 6771st one is 67967.
- 2
67967 is prime because no prime up to ā67967 ā 260.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6771st prime is close to 6771 Ć ln(6771) ā 59723, and here it is 67967.
- 4
67967 has no twin: neither 67965 nor 67969 is prime.
Primes around the 6771st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6768 | 67943 | 4 |
| 6769 | 67957 | 14 |
| 6770 | 67961 | 4 |
| 6771 | 67967 | 6 |
| 6772 | 67979 | 12 |
| 6773 | 67987 | 8 |
| 6774 | 67993 | 6 |
Questions
What is the 6771st prime number?
67967.
Which prime number is 67967?
67967 is the 6771st prime number.
What is the sum of the first 6771 primes?
217,576,660.