What is the 6770th prime number?
The 6770th prime number is 67961. The next prime is 67967 (a gap of 6) and the one before is 67957.
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 6770th one is 67961.
- 2
67961 is prime because no prime up to ā67961 ā 260.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6770th prime is close to 6770 Ć ln(6770) ā 59713, and here it is 67961.
- 4
67961 has no twin: neither 67959 nor 67963 is prime.
Primes around the 6770th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6767 | 67939 | 6 |
| 6768 | 67943 | 4 |
| 6769 | 67957 | 14 |
| 6770 | 67961 | 4 |
| 6771 | 67967 | 6 |
| 6772 | 67979 | 12 |
| 6773 | 67987 | 8 |
Questions
What is the 6770th prime number?
67961.
Which prime number is 67961?
67961 is the 6770th prime number.
What is the sum of the first 6770 primes?
217,508,693.