What is the 3057th prime number?
The 3057th prime number is 28019. The next prime is 28027 (a gap of 8) and the one before is 28001.
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 3057th one is 28019.
- 2
28019 is prime because no prime up to ā28019 ā 167.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3057th prime is close to 3057 Ć ln(3057) ā 24533, and here it is 28019.
- 4
28019 has no twin: neither 28017 nor 28021 is prime.
Primes around the 3057th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3054 | 27983 | 16 |
| 3055 | 27997 | 14 |
| 3056 | 28001 | 4 |
| 3057 | 28019 | 18 |
| 3058 | 28027 | 8 |
| 3059 | 28031 | 4 |
| 3060 | 28051 | 20 |
Questions
What is the 3057th prime number?
28019.
Which prime number is 28019?
28019 is the 3057th prime number.
What is the sum of the first 3057 primes?
40,227,004.