What is the 6759th prime number?
The 6759th prime number is 67853. The next prime is 67867 (a gap of 14) and the one before is 67843.
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 6759th one is 67853.
- 2
67853 is prime because no prime up to ā67853 ā 260.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6759th prime is close to 6759 Ć ln(6759) ā 59605, and here it is 67853.
- 4
67853 has no twin: neither 67851 nor 67855 is prime.
Primes around the 6759th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6756 | 67819 | 12 |
| 6757 | 67829 | 10 |
| 6758 | 67843 | 14 |
| 6759 | 67853 | 10 |
| 6760 | 67867 | 14 |
| 6761 | 67883 | 16 |
| 6762 | 67891 | 8 |
Questions
What is the 6759th prime number?
67853.
Which prime number is 67853?
67853 is the 6759th prime number.
What is the sum of the first 6759 primes?
216,761,560.