What is the 2838th prime number?
The 2838th prime number is 25771. The next prime is 25793 (a gap of 22) and the one before is 25763.
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 2838th one is 25771.
- 2
25771 is prime because no prime up to ā25771 ā 160.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2838th prime is close to 2838 Ć ln(2838) ā 22565, and here it is 25771.
- 4
25771 has no twin: neither 25769 nor 25773 is prime.
Primes around the 2838th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2835 | 25747 | 6 |
| 2836 | 25759 | 12 |
| 2837 | 25763 | 4 |
| 2838 | 25771 | 8 |
| 2839 | 25793 | 22 |
| 2840 | 25799 | 6 |
| 2841 | 25801 | 2 |
Questions
What is the 2838th prime number?
25771.
Which prime number is 25771?
25771 is the 2838th prime number.
What is the sum of the first 2838 primes?
34,336,129.