What is the 6782nd prime number?
The 6782nd prime number is 68111. The next prime is 68113 (a gap of 2) and the one before is 68099.
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 6782nd one is 68111.
- 2
68111 is prime because no prime up to ā68111 ā 260.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6782nd prime is close to 6782 Ć ln(6782) ā 59831, and here it is 68111.
- 4
68111 is a twin prime: 68111 and 68113 are both prime.
Primes around the 6782nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6779 | 68071 | 12 |
| 6780 | 68087 | 16 |
| 6781 | 68099 | 12 |
| 6782 | 68111 | 12 |
| 6783 | 68113 | 2 |
| 6784 | 68141 | 28 |
| 6785 | 68147 | 6 |
Questions
What is the 6782nd prime number?
68111.
Which prime number is 68111?
68111 is the 6782nd prime number.
What is the sum of the first 6782 primes?
218,325,163.