What is the 3026th prime number?
The 3026th prime number is 27743. The next prime is 27749 (a gap of 6) and the one before is 27739.
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 3026th one is 27743.
- 2
27743 is prime because no prime up to ā27743 ā 166.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3026th prime is close to 3026 Ć ln(3026) ā 24253, and here it is 27743.
- 4
27743 has no twin: neither 27741 nor 27745 is prime.
Primes around the 3026th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3023 | 27733 | 32 |
| 3024 | 27737 | 4 |
| 3025 | 27739 | 2 |
| 3026 | 27743 | 4 |
| 3027 | 27749 | 6 |
| 3028 | 27751 | 2 |
| 3029 | 27763 | 12 |
Questions
What is the 3026th prime number?
27743.
Which prime number is 27743?
27743 is the 3026th prime number.
What is the sum of the first 3026 primes?
39,363,037.