What is the 6812th prime number?
The 6812th prime number is 68501. The next prime is 68507 (a gap of 6) and the one before is 68491.
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 6812th one is 68501.
- 2
68501 is prime because no prime up to ā68501 ā 261.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6812th prime is close to 6812 Ć ln(6812) ā 60126, and here it is 68501.
- 4
68501 has no twin: neither 68499 nor 68503 is prime.
Primes around the 6812th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6809 | 68483 | 6 |
| 6810 | 68489 | 6 |
| 6811 | 68491 | 2 |
| 6812 | 68501 | 10 |
| 6813 | 68507 | 6 |
| 6814 | 68521 | 14 |
| 6815 | 68531 | 10 |
Questions
What is the 6812th prime number?
68501.
Which prime number is 68501?
68501 is the 6812th prime number.
What is the sum of the first 6812 primes?
220,374,871.