What is the 6832nd prime number?
The 6832nd prime number is 68737. The next prime is 68743 (a gap of 6) and the one before is 68729.
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 6832nd one is 68737.
- 2
68737 is prime because no prime up to ā68737 ā 262.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6832nd prime is close to 6832 Ć ln(6832) ā 60322, and here it is 68737.
- 4
68737 has no twin: neither 68735 nor 68739 is prime.
Primes around the 6832nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6829 | 68711 | 12 |
| 6830 | 68713 | 2 |
| 6831 | 68729 | 16 |
| 6832 | 68737 | 8 |
| 6833 | 68743 | 6 |
| 6834 | 68749 | 6 |
| 6835 | 68767 | 18 |
Questions
What is the 6832nd prime number?
68737.
Which prime number is 68737?
68737 is the 6832nd prime number.
What is the sum of the first 6832 primes?
221,747,427.