What is the 6872nd prime number?
The 6872nd prime number is 69197. The next prime is 69203 (a gap of 6) and the one before is 69193.
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 6872nd one is 69197.
- 2
69197 is prime because no prime up to ā69197 ā 263.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6872nd prime is close to 6872 Ć ln(6872) ā 60716, and here it is 69197.
- 4
69197 has no twin: neither 69195 nor 69199 is prime.
Primes around the 6872nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6869 | 69163 | 12 |
| 6870 | 69191 | 28 |
| 6871 | 69193 | 2 |
| 6872 | 69197 | 4 |
| 6873 | 69203 | 6 |
| 6874 | 69221 | 18 |
| 6875 | 69233 | 12 |
Questions
What is the 6872nd prime number?
69197.
Which prime number is 69197?
69197 is the 6872nd prime number.
What is the sum of the first 6872 primes?
224,506,181.