What is the 3056th prime number?
The 3056th prime number is 28001. The next prime is 28019 (a gap of 18) and the one before is 27997.
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 3056th one is 28001.
- 2
28001 is prime because no prime up to ā28001 ā 167.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3056th prime is close to 3056 Ć ln(3056) ā 24524, and here it is 28001.
- 4
28001 has no twin: neither 27999 nor 28003 is prime.
Primes around the 3056th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3053 | 27967 | 6 |
| 3054 | 27983 | 16 |
| 3055 | 27997 | 14 |
| 3056 | 28001 | 4 |
| 3057 | 28019 | 18 |
| 3058 | 28027 | 8 |
| 3059 | 28031 | 4 |
Questions
What is the 3056th prime number?
28001.
Which prime number is 28001?
28001 is the 3056th prime number.
What is the sum of the first 3056 primes?
40,198,985.