What is the 2830th prime number?
The 2830th prime number is 25693. The next prime is 25703 (a gap of 10) and the one before is 25679.
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 2830th one is 25693.
- 2
25693 is prime because no prime up to ā25693 ā 160.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2830th prime is close to 2830 Ć ln(2830) ā 22493, and here it is 25693.
- 4
25693 has no twin: neither 25691 nor 25695 is prime.
Primes around the 2830th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2827 | 25667 | 10 |
| 2828 | 25673 | 6 |
| 2829 | 25679 | 6 |
| 2830 | 25693 | 14 |
| 2831 | 25703 | 10 |
| 2832 | 25717 | 14 |
| 2833 | 25733 | 16 |
Questions
What is the 2830th prime number?
25693.
Which prime number is 25693?
25693 is the 2830th prime number.
What is the sum of the first 2830 primes?
34,130,195.