What is the 6800th prime number?
The 6800th prime number is 68371. The next prime is 68389 (a gap of 18) and the one before is 68351.
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 6800th one is 68371.
- 2
68371 is prime because no prime up to ā68371 ā 261.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6800th prime is close to 6800 Ć ln(6800) ā 60008, and here it is 68371.
- 4
68371 has no twin: neither 68369 nor 68373 is prime.
Primes around the 6800th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6797 | 68311 | 30 |
| 6798 | 68329 | 18 |
| 6799 | 68351 | 22 |
| 6800 | 68371 | 20 |
| 6801 | 68389 | 18 |
| 6802 | 68399 | 10 |
| 6803 | 68437 | 38 |
Questions
What is the 6800th prime number?
68371.
Which prime number is 68371?
68371 is the 6800th prime number.
What is the sum of the first 6800 primes?
219,553,393.