What is the 3059th prime number?
The 3059th prime number is 28031. The next prime is 28051 (a gap of 20) and the one before is 28027.
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 3059th one is 28031.
- 2
28031 is prime because no prime up to ā28031 ā 167.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3059th prime is close to 3059 Ć ln(3059) ā 24551, and here it is 28031.
- 4
28031 has no twin: neither 28029 nor 28033 is prime.
Primes around the 3059th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3056 | 28001 | 4 |
| 3057 | 28019 | 18 |
| 3058 | 28027 | 8 |
| 3059 | 28031 | 4 |
| 3060 | 28051 | 20 |
| 3061 | 28057 | 6 |
| 3062 | 28069 | 12 |
Questions
What is the 3059th prime number?
28031.
Which prime number is 28031?
28031 is the 3059th prime number.
What is the sum of the first 3059 primes?
40,283,062.