What is the 3024th prime number?
The 3024th prime number is 27737. The next prime is 27739 (a gap of 2) and the one before is 27733.
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 3024th one is 27737.
- 2
27737 is prime because no prime up to ā27737 ā 166.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3024th prime is close to 3024 Ć ln(3024) ā 24235, and here it is 27737.
- 4
27737 is a twin prime: 27737 and 27739 are both prime.
Primes around the 3024th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3021 | 27697 | 6 |
| 3022 | 27701 | 4 |
| 3023 | 27733 | 32 |
| 3024 | 27737 | 4 |
| 3025 | 27739 | 2 |
| 3026 | 27743 | 4 |
| 3027 | 27749 | 6 |
Questions
What is the 3024th prime number?
27737.
Which prime number is 27737?
27737 is the 3024th prime number.
What is the sum of the first 3024 primes?
39,307,555.