What is the 6772nd prime number?
The 6772nd prime number is 67979. The next prime is 67987 (a gap of 8) and the one before is 67967.
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 6772nd one is 67979.
- 2
67979 is prime because no prime up to ā67979 ā 260.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6772nd prime is close to 6772 Ć ln(6772) ā 59733, and here it is 67979.
- 4
67979 has no twin: neither 67977 nor 67981 is prime.
Primes around the 6772nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6769 | 67957 | 14 |
| 6770 | 67961 | 4 |
| 6771 | 67967 | 6 |
| 6772 | 67979 | 12 |
| 6773 | 67987 | 8 |
| 6774 | 67993 | 6 |
| 6775 | 68023 | 30 |
Questions
What is the 6772nd prime number?
67979.
Which prime number is 67979?
67979 is the 6772nd prime number.
What is the sum of the first 6772 primes?
217,644,639.