What is the 6871st prime number?
The 6871st prime number is 69193. The next prime is 69197 (a gap of 4) and the one before is 69191.
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 6871st one is 69193.
- 2
69193 is prime because no prime up to ā69193 ā 263.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6871st prime is close to 6871 Ć ln(6871) ā 60706, and here it is 69193.
- 4
69193 is a twin prime: 69191 and 69193 are both prime.
Primes around the 6871st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6868 | 69151 | 2 |
| 6869 | 69163 | 12 |
| 6870 | 69191 | 28 |
| 6871 | 69193 | 2 |
| 6872 | 69197 | 4 |
| 6873 | 69203 | 6 |
| 6874 | 69221 | 18 |
Questions
What is the 6871st prime number?
69193.
Which prime number is 69193?
69193 is the 6871st prime number.
What is the sum of the first 6871 primes?
224,436,984.