What is the 6784th prime number?
The 6784th prime number is 68141. The next prime is 68147 (a gap of 6) and the one before is 68113.
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 6784th one is 68141.
- 2
68141 is prime because no prime up to ā68141 ā 261.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6784th prime is close to 6784 Ć ln(6784) ā 59851, and here it is 68141.
- 4
68141 has no twin: neither 68139 nor 68143 is prime.
Primes around the 6784th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6781 | 68099 | 12 |
| 6782 | 68111 | 12 |
| 6783 | 68113 | 2 |
| 6784 | 68141 | 28 |
| 6785 | 68147 | 6 |
| 6786 | 68161 | 14 |
| 6787 | 68171 | 10 |
Questions
What is the 6784th prime number?
68141.
Which prime number is 68141?
68141 is the 6784th prime number.
What is the sum of the first 6784 primes?
218,461,417.