What is the 2826th prime number?
The 2826th prime number is 25657. The next prime is 25667 (a gap of 10) and the one before is 25643.
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 2826th one is 25657.
- 2
25657 is prime because no prime up to ā25657 ā 160.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2826th prime is close to 2826 Ć ln(2826) ā 22457, and here it is 25657.
- 4
25657 has no twin: neither 25655 nor 25659 is prime.
Primes around the 2826th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2823 | 25633 | 12 |
| 2824 | 25639 | 6 |
| 2825 | 25643 | 4 |
| 2826 | 25657 | 14 |
| 2827 | 25667 | 10 |
| 2828 | 25673 | 6 |
| 2829 | 25679 | 6 |
Questions
What is the 2826th prime number?
25657.
Which prime number is 25657?
25657 is the 2826th prime number.
What is the sum of the first 2826 primes?
34,027,483.