What is the 5156th prime number?
The 5156th prime number is 50227. The next prime is 50231 (a gap of 4) and the one before is 50221.
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 5156th one is 50227.
- 2
50227 is prime because no prime up to ā50227 ā 224.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5156th prime is close to 5156 Ć ln(5156) ā 44073, and here it is 50227.
- 4
50227 has no twin: neither 50225 nor 50229 is prime.
Primes around the 5156th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5153 | 50177 | 18 |
| 5154 | 50207 | 30 |
| 5155 | 50221 | 14 |
| 5156 | 50227 | 6 |
| 5157 | 50231 | 4 |
| 5158 | 50261 | 30 |
| 5159 | 50263 | 2 |
Questions
What is the 5156th prime number?
50227.
Which prime number is 50227?
50227 is the 5156th prime number.
What is the sum of the first 5156 primes?
122,165,867.