What is the 2850th prime number?
The 2850th prime number is 25913. The next prime is 25919 (a gap of 6) and the one before is 25903.
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 2850th one is 25913.
- 2
25913 is prime because no prime up to ā25913 ā 160.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2850th prime is close to 2850 Ć ln(2850) ā 22672, and here it is 25913.
- 4
25913 has no twin: neither 25911 nor 25915 is prime.
Primes around the 2850th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2847 | 25873 | 6 |
| 2848 | 25889 | 16 |
| 2849 | 25903 | 14 |
| 2850 | 25913 | 10 |
| 2851 | 25919 | 6 |
| 2852 | 25931 | 12 |
| 2853 | 25933 | 2 |
Questions
What is the 2850th prime number?
25913.
Which prime number is 25913?
25913 is the 2850th prime number.
What is the sum of the first 2850 primes?
34,646,323.