What is the 2827th prime number?
The 2827th prime number is 25667. The next prime is 25673 (a gap of 6) and the one before is 25657.
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 2827th one is 25667.
- 2
25667 is prime because no prime up to ā25667 ā 160.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2827th prime is close to 2827 Ć ln(2827) ā 22466, and here it is 25667.
- 4
25667 has no twin: neither 25665 nor 25669 is prime.
Primes around the 2827th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2824 | 25639 | 6 |
| 2825 | 25643 | 4 |
| 2826 | 25657 | 14 |
| 2827 | 25667 | 10 |
| 2828 | 25673 | 6 |
| 2829 | 25679 | 6 |
| 2830 | 25693 | 14 |
Questions
What is the 2827th prime number?
25667.
Which prime number is 25667?
25667 is the 2827th prime number.
What is the sum of the first 2827 primes?
34,053,150.