What is the 6774th prime number?
The 6774th prime number is 67993. The next prime is 68023 (a gap of 30) and the one before is 67987.
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 6774th one is 67993.
- 2
67993 is prime because no prime up to ā67993 ā 260.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6774th prime is close to 6774 Ć ln(6774) ā 59752, and here it is 67993.
- 4
67993 has no twin: neither 67991 nor 67995 is prime.
Primes around the 6774th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6771 | 67967 | 6 |
| 6772 | 67979 | 12 |
| 6773 | 67987 | 8 |
| 6774 | 67993 | 6 |
| 6775 | 68023 | 30 |
| 6776 | 68041 | 18 |
| 6777 | 68053 | 12 |
Questions
What is the 6774th prime number?
67993.
Which prime number is 67993?
67993 is the 6774th prime number.
What is the sum of the first 6774 primes?
217,780,619.