What is the 2834th prime number?
The 2834th prime number is 25741. The next prime is 25747 (a gap of 6) and the one before is 25733.
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 2834th one is 25741.
- 2
25741 is prime because no prime up to ā25741 ā 160.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2834th prime is close to 2834 Ć ln(2834) ā 22529, and here it is 25741.
- 4
25741 has no twin: neither 25739 nor 25743 is prime.
Primes around the 2834th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2831 | 25703 | 10 |
| 2832 | 25717 | 14 |
| 2833 | 25733 | 16 |
| 2834 | 25741 | 8 |
| 2835 | 25747 | 6 |
| 2836 | 25759 | 12 |
| 2837 | 25763 | 4 |
Questions
What is the 2834th prime number?
25741.
Which prime number is 25741?
25741 is the 2834th prime number.
What is the sum of the first 2834 primes?
34,233,089.