What is the 6856th prime number?
The 6856th prime number is 69011. The next prime is 69019 (a gap of 8) and the one before is 69001.
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 6856th one is 69011.
- 2
69011 is prime because no prime up to ā69011 ā 262.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6856th prime is close to 6856 Ć ln(6856) ā 60558, and here it is 69011.
- 4
69011 has no twin: neither 69009 nor 69013 is prime.
Primes around the 6856th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6853 | 68963 | 16 |
| 6854 | 68993 | 30 |
| 6855 | 69001 | 8 |
| 6856 | 69011 | 10 |
| 6857 | 69019 | 8 |
| 6858 | 69029 | 10 |
| 6859 | 69031 | 2 |
Questions
What is the 6856th prime number?
69011.
Which prime number is 69011?
69011 is the 6856th prime number.
What is the sum of the first 6856 primes?
223,400,359.