What is the 3025th prime number?
The 3025th prime number is 27739. The next prime is 27743 (a gap of 4) and the one before is 27737.
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 3025th one is 27739.
- 2
27739 is prime because no prime up to ā27739 ā 166.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3025th prime is close to 3025 Ć ln(3025) ā 24244, and here it is 27739.
- 4
27739 is a twin prime: 27737 and 27739 are both prime.
Primes around the 3025th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3022 | 27701 | 4 |
| 3023 | 27733 | 32 |
| 3024 | 27737 | 4 |
| 3025 | 27739 | 2 |
| 3026 | 27743 | 4 |
| 3027 | 27749 | 6 |
| 3028 | 27751 | 2 |
Questions
What is the 3025th prime number?
27739.
Which prime number is 27739?
27739 is the 3025th prime number.
What is the sum of the first 3025 primes?
39,335,294.