What is the 3058th prime number?
The 3058th prime number is 28027. The next prime is 28031 (a gap of 4) and the one before is 28019.
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 3058th one is 28027.
- 2
28027 is prime because no prime up to ā28027 ā 167.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3058th prime is close to 3058 Ć ln(3058) ā 24542, and here it is 28027.
- 4
28027 has no twin: neither 28025 nor 28029 is prime.
Primes around the 3058th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3055 | 27997 | 14 |
| 3056 | 28001 | 4 |
| 3057 | 28019 | 18 |
| 3058 | 28027 | 8 |
| 3059 | 28031 | 4 |
| 3060 | 28051 | 20 |
| 3061 | 28057 | 6 |
Questions
What is the 3058th prime number?
28027.
Which prime number is 28027?
28027 is the 3058th prime number.
What is the sum of the first 3058 primes?
40,255,031.