What is the 5056th prime number?
The 5056th prime number is 49193. The next prime is 49199 (a gap of 6) and the one before is 49177.
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 5056th one is 49193.
- 2
49193 is prime because no prime up to ā49193 ā 221.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5056th prime is close to 5056 Ć ln(5056) ā 43119, and here it is 49193.
- 4
49193 has no twin: neither 49191 nor 49195 is prime.
Primes around the 5056th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5053 | 49169 | 12 |
| 5054 | 49171 | 2 |
| 5055 | 49177 | 6 |
| 5056 | 49193 | 16 |
| 5057 | 49199 | 6 |
| 5058 | 49201 | 2 |
| 5059 | 49207 | 6 |
Questions
What is the 5056th prime number?
49193.
Which prime number is 49193?
49193 is the 5056th prime number.
What is the sum of the first 5056 primes?
117,194,199.