What is the 2825th prime number?
The 2825th prime number is 25643. The next prime is 25657 (a gap of 14) and the one before is 25639.
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 2825th one is 25643.
- 2
25643 is prime because no prime up to ā25643 ā 160.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2825th prime is close to 2825 Ć ln(2825) ā 22448, and here it is 25643.
- 4
25643 has no twin: neither 25641 nor 25645 is prime.
Primes around the 2825th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2822 | 25621 | 12 |
| 2823 | 25633 | 12 |
| 2824 | 25639 | 6 |
| 2825 | 25643 | 4 |
| 2826 | 25657 | 14 |
| 2827 | 25667 | 10 |
| 2828 | 25673 | 6 |
Questions
What is the 2825th prime number?
25643.
Which prime number is 25643?
25643 is the 2825th prime number.
What is the sum of the first 2825 primes?
34,001,826.