What is the 6783rd prime number?
The 6783rd prime number is 68113. The next prime is 68141 (a gap of 28) and the one before is 68111.
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 6783rd one is 68113.
- 2
68113 is prime because no prime up to ā68113 ā 260.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6783rd prime is close to 6783 Ć ln(6783) ā 59841, and here it is 68113.
- 4
68113 is a twin prime: 68111 and 68113 are both prime.
Primes around the 6783rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6780 | 68087 | 16 |
| 6781 | 68099 | 12 |
| 6782 | 68111 | 12 |
| 6783 | 68113 | 2 |
| 6784 | 68141 | 28 |
| 6785 | 68147 | 6 |
| 6786 | 68161 | 14 |
Questions
What is the 6783rd prime number?
68113.
Which prime number is 68113?
68113 is the 6783rd prime number.
What is the sum of the first 6783 primes?
218,393,276.