What is the 2853rd prime number?
The 2853rd prime number is 25933. The next prime is 25939 (a gap of 6) and the one before is 25931.
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 2853rd one is 25933.
- 2
25933 is prime because no prime up to ā25933 ā 161.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2853rd prime is close to 2853 Ć ln(2853) ā 22699, and here it is 25933.
- 4
25933 is a twin prime: 25931 and 25933 are both prime.
Primes around the 2853rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2850 | 25913 | 10 |
| 2851 | 25919 | 6 |
| 2852 | 25931 | 12 |
| 2853 | 25933 | 2 |
| 2854 | 25939 | 6 |
| 2855 | 25943 | 4 |
| 2856 | 25951 | 8 |
Questions
What is the 2853rd prime number?
25933.
Which prime number is 25933?
25933 is the 2853rd prime number.
What is the sum of the first 2853 primes?
34,724,106.