What is the 6862nd prime number?
The 6862nd prime number is 69073. The next prime is 69109 (a gap of 36) and the one before is 69067.
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 6862nd one is 69073.
- 2
69073 is prime because no prime up to ā69073 ā 262.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6862nd prime is close to 6862 Ć ln(6862) ā 60617, and here it is 69073.
- 4
69073 has no twin: neither 69071 nor 69075 is prime.
Primes around the 6862nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6859 | 69031 | 2 |
| 6860 | 69061 | 30 |
| 6861 | 69067 | 6 |
| 6862 | 69073 | 6 |
| 6863 | 69109 | 36 |
| 6864 | 69119 | 10 |
| 6865 | 69127 | 8 |
Questions
What is the 6862nd prime number?
69073.
Which prime number is 69073?
69073 is the 6862nd prime number.
What is the sum of the first 6862 primes?
223,814,639.