What is the 2829th prime number?
The 2829th prime number is 25679. The next prime is 25693 (a gap of 14) and the one before is 25673.
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 2829th one is 25679.
- 2
25679 is prime because no prime up to ā25679 ā 160.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2829th prime is close to 2829 Ć ln(2829) ā 22484, and here it is 25679.
- 4
25679 has no twin: neither 25677 nor 25681 is prime.
Primes around the 2829th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2826 | 25657 | 14 |
| 2827 | 25667 | 10 |
| 2828 | 25673 | 6 |
| 2829 | 25679 | 6 |
| 2830 | 25693 | 14 |
| 2831 | 25703 | 10 |
| 2832 | 25717 | 14 |
Questions
What is the 2829th prime number?
25679.
Which prime number is 25679?
25679 is the 2829th prime number.
What is the sum of the first 2829 primes?
34,104,502.