What is the 2852nd prime number?
The 2852nd prime number is 25931. The next prime is 25933 (a gap of 2) and the one before is 25919.
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 2852nd one is 25931.
- 2
25931 is prime because no prime up to ā25931 ā 161.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2852nd prime is close to 2852 Ć ln(2852) ā 22690, and here it is 25931.
- 4
25931 is a twin prime: 25931 and 25933 are both prime.
Primes around the 2852nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2849 | 25903 | 14 |
| 2850 | 25913 | 10 |
| 2851 | 25919 | 6 |
| 2852 | 25931 | 12 |
| 2853 | 25933 | 2 |
| 2854 | 25939 | 6 |
| 2855 | 25943 | 4 |
Questions
What is the 2852nd prime number?
25931.
Which prime number is 25931?
25931 is the 2852nd prime number.
What is the sum of the first 2852 primes?
34,698,173.