What is the 2842nd prime number?
The 2842nd prime number is 25819. The next prime is 25841 (a gap of 22) and the one before is 25801.
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 2842nd one is 25819.
- 2
25819 is prime because no prime up to ā25819 ā 160.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2842nd prime is close to 2842 Ć ln(2842) ā 22600, and here it is 25819.
- 4
25819 has no twin: neither 25817 nor 25821 is prime.
Primes around the 2842nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2839 | 25793 | 22 |
| 2840 | 25799 | 6 |
| 2841 | 25801 | 2 |
| 2842 | 25819 | 18 |
| 2843 | 25841 | 22 |
| 2844 | 25847 | 6 |
| 2845 | 25849 | 2 |
Questions
What is the 2842nd prime number?
25819.
Which prime number is 25819?
25819 is the 2842nd prime number.
What is the sum of the first 2842 primes?
34,439,341.