What is the 6773rd prime number?
The 6773rd prime number is 67987. The next prime is 67993 (a gap of 6) and the one before is 67979.
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 6773rd one is 67987.
- 2
67987 is prime because no prime up to ā67987 ā 260.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6773rd prime is close to 6773 Ć ln(6773) ā 59743, and here it is 67987.
- 4
67987 has no twin: neither 67985 nor 67989 is prime.
Primes around the 6773rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6770 | 67961 | 4 |
| 6771 | 67967 | 6 |
| 6772 | 67979 | 12 |
| 6773 | 67987 | 8 |
| 6774 | 67993 | 6 |
| 6775 | 68023 | 30 |
| 6776 | 68041 | 18 |
Questions
What is the 6773rd prime number?
67987.
Which prime number is 67987?
67987 is the 6773rd prime number.
What is the sum of the first 6773 primes?
217,712,626.