What is the 2833rd prime number?
The 2833rd prime number is 25733. The next prime is 25741 (a gap of 8) and the one before is 25717.
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 2833rd one is 25733.
- 2
25733 is prime because no prime up to ā25733 ā 160.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2833rd prime is close to 2833 Ć ln(2833) ā 22520, and here it is 25733.
- 4
25733 has no twin: neither 25731 nor 25735 is prime.
Primes around the 2833rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2830 | 25693 | 14 |
| 2831 | 25703 | 10 |
| 2832 | 25717 | 14 |
| 2833 | 25733 | 16 |
| 2834 | 25741 | 8 |
| 2835 | 25747 | 6 |
| 2836 | 25759 | 12 |
Questions
What is the 2833rd prime number?
25733.
Which prime number is 25733?
25733 is the 2833rd prime number.
What is the sum of the first 2833 primes?
34,207,348.