What is the 2835th prime number?
The 2835th prime number is 25747. The next prime is 25759 (a gap of 12) and the one before is 25741.
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 2835th one is 25747.
- 2
25747 is prime because no prime up to ā25747 ā 160.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2835th prime is close to 2835 Ć ln(2835) ā 22538, and here it is 25747.
- 4
25747 has no twin: neither 25745 nor 25749 is prime.
Primes around the 2835th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2832 | 25717 | 14 |
| 2833 | 25733 | 16 |
| 2834 | 25741 | 8 |
| 2835 | 25747 | 6 |
| 2836 | 25759 | 12 |
| 2837 | 25763 | 4 |
| 2838 | 25771 | 8 |
Questions
What is the 2835th prime number?
25747.
Which prime number is 25747?
25747 is the 2835th prime number.
What is the sum of the first 2835 primes?
34,258,836.