What is the 6787th prime number?
The 6787th prime number is 68171. The next prime is 68207 (a gap of 36) and the one before is 68161.
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 6787th one is 68171.
- 2
68171 is prime because no prime up to ā68171 ā 261.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6787th prime is close to 6787 Ć ln(6787) ā 59880, and here it is 68171.
- 4
68171 has no twin: neither 68169 nor 68173 is prime.
Primes around the 6787th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6784 | 68141 | 28 |
| 6785 | 68147 | 6 |
| 6786 | 68161 | 14 |
| 6787 | 68171 | 10 |
| 6788 | 68207 | 36 |
| 6789 | 68209 | 2 |
| 6790 | 68213 | 4 |
Questions
What is the 6787th prime number?
68171.
Which prime number is 68171?
68171 is the 6787th prime number.
What is the sum of the first 6787 primes?
218,665,896.