What is the 6761st prime number?
The 6761st prime number is 67883. The next prime is 67891 (a gap of 8) and the one before is 67867.
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 6761st one is 67883.
- 2
67883 is prime because no prime up to ā67883 ā 260.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6761st prime is close to 6761 Ć ln(6761) ā 59625, and here it is 67883.
- 4
67883 has no twin: neither 67881 nor 67885 is prime.
Primes around the 6761st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6758 | 67843 | 14 |
| 6759 | 67853 | 10 |
| 6760 | 67867 | 14 |
| 6761 | 67883 | 16 |
| 6762 | 67891 | 8 |
| 6763 | 67901 | 10 |
| 6764 | 67927 | 26 |
Questions
What is the 6761st prime number?
67883.
Which prime number is 67883?
67883 is the 6761st prime number.
What is the sum of the first 6761 primes?
216,897,310.