What is the 2849th prime number?
The 2849th prime number is 25903. The next prime is 25913 (a gap of 10) and the one before is 25889.
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 2849th one is 25903.
- 2
25903 is prime because no prime up to ā25903 ā 160.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2849th prime is close to 2849 Ć ln(2849) ā 22663, and here it is 25903.
- 4
25903 has no twin: neither 25901 nor 25905 is prime.
Primes around the 2849th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2846 | 25867 | 18 |
| 2847 | 25873 | 6 |
| 2848 | 25889 | 16 |
| 2849 | 25903 | 14 |
| 2850 | 25913 | 10 |
| 2851 | 25919 | 6 |
| 2852 | 25931 | 12 |
Questions
What is the 2849th prime number?
25903.
Which prime number is 25903?
25903 is the 2849th prime number.
What is the sum of the first 2849 primes?
34,620,410.