What is the 6861st prime number?
The 6861st prime number is 69067. The next prime is 69073 (a gap of 6) and the one before is 69061.
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 6861st one is 69067.
- 2
69067 is prime because no prime up to ā69067 ā 262.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6861st prime is close to 6861 Ć ln(6861) ā 60607, and here it is 69067.
- 4
69067 has no twin: neither 69065 nor 69069 is prime.
Primes around the 6861st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6858 | 69029 | 10 |
| 6859 | 69031 | 2 |
| 6860 | 69061 | 30 |
| 6861 | 69067 | 6 |
| 6862 | 69073 | 6 |
| 6863 | 69109 | 36 |
| 6864 | 69119 | 10 |
Questions
What is the 6861st prime number?
69067.
Which prime number is 69067?
69067 is the 6861st prime number.
What is the sum of the first 6861 primes?
223,745,566.