What is the 5134th prime number?
The 5134th prime number is 50021. The next prime is 50023 (a gap of 2) and the one before is 49999.
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 5134th one is 50021.
- 2
50021 is prime because no prime up to ā50021 ā 223.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5134th prime is close to 5134 Ć ln(5134) ā 43863, and here it is 50021.
- 4
50021 is a twin prime: 50021 and 50023 are both prime.
Primes around the 5134th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5131 | 49991 | 34 |
| 5132 | 49993 | 2 |
| 5133 | 49999 | 6 |
| 5134 | 50021 | 22 |
| 5135 | 50023 | 2 |
| 5136 | 50033 | 10 |
| 5137 | 50047 | 14 |
Questions
What is the 5134th prime number?
50021.
Which prime number is 50021?
50021 is the 5134th prime number.
What is the sum of the first 5134 primes?
121,063,329.