What is the 6852nd prime number?
The 6852nd prime number is 68947. The next prime is 68963 (a gap of 16) and the one before is 68927.
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 6852nd one is 68947.
- 2
68947 is prime because no prime up to ā68947 ā 262.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6852nd prime is close to 6852 Ć ln(6852) ā 60519, and here it is 68947.
- 4
68947 has no twin: neither 68945 nor 68949 is prime.
Primes around the 6852nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6849 | 68909 | 6 |
| 6850 | 68917 | 8 |
| 6851 | 68927 | 10 |
| 6852 | 68947 | 20 |
| 6853 | 68963 | 16 |
| 6854 | 68993 | 30 |
| 6855 | 69001 | 8 |
Questions
What is the 6852nd prime number?
68947.
Which prime number is 68947?
68947 is the 6852nd prime number.
What is the sum of the first 6852 primes?
223,124,391.