What is the 2828th prime number?
The 2828th prime number is 25673. The next prime is 25679 (a gap of 6) and the one before is 25667.
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 2828th one is 25673.
- 2
25673 is prime because no prime up to ā25673 ā 160.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2828th prime is close to 2828 Ć ln(2828) ā 22475, and here it is 25673.
- 4
25673 has no twin: neither 25671 nor 25675 is prime.
Primes around the 2828th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2825 | 25643 | 4 |
| 2826 | 25657 | 14 |
| 2827 | 25667 | 10 |
| 2828 | 25673 | 6 |
| 2829 | 25679 | 6 |
| 2830 | 25693 | 14 |
| 2831 | 25703 | 10 |
Questions
What is the 2828th prime number?
25673.
Which prime number is 25673?
25673 is the 2828th prime number.
What is the sum of the first 2828 primes?
34,078,823.