What is the 5135th prime number?
The 5135th prime number is 50023. The next prime is 50033 (a gap of 10) and the one before is 50021.
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 5135th one is 50023.
- 2
50023 is prime because no prime up to ā50023 ā 223.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5135th prime is close to 5135 Ć ln(5135) ā 43873, and here it is 50023.
- 4
50023 is a twin prime: 50021 and 50023 are both prime.
Primes around the 5135th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5132 | 49993 | 2 |
| 5133 | 49999 | 6 |
| 5134 | 50021 | 22 |
| 5135 | 50023 | 2 |
| 5136 | 50033 | 10 |
| 5137 | 50047 | 14 |
| 5138 | 50051 | 4 |
Questions
What is the 5135th prime number?
50023.
Which prime number is 50023?
50023 is the 5135th prime number.
What is the sum of the first 5135 primes?
121,113,352.