What is the 852nd prime number?
The 852nd prime number is 6581. The next prime is 6599 (a gap of 18) and the one before is 6577.
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 852nd one is 6581.
- 2
6581 is prime because no prime up to ā6581 ā 81.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 852nd prime is close to 852 Ć ln(852) ā 5749, and here it is 6581.
- 4
6581 has no twin: neither 6579 nor 6583 is prime.
Primes around the 852nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 849 | 6569 | 6 |
| 850 | 6571 | 2 |
| 851 | 6577 | 6 |
| 852 | 6581 | 4 |
| 853 | 6599 | 18 |
| 854 | 6607 | 8 |
| 855 | 6619 | 12 |
Questions
What is the 852nd prime number?
6581.
Which prime number is 6581?
6581 is the 852nd prime number.
What is the sum of the first 852 primes?
2,608,699.