What is the 5133rd prime number?
The 5133rd prime number is 49999. The next prime is 50021 (a gap of 22) and the one before is 49993.
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 5133rd one is 49999.
- 2
49999 is prime because no prime up to ā49999 ā 223.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5133rd prime is close to 5133 Ć ln(5133) ā 43854, and here it is 49999.
- 4
49999 has no twin: neither 49997 nor 50001 is prime.
Primes around the 5133rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5130 | 49957 | 14 |
| 5131 | 49991 | 34 |
| 5132 | 49993 | 2 |
| 5133 | 49999 | 6 |
| 5134 | 50021 | 22 |
| 5135 | 50023 | 2 |
| 5136 | 50033 | 10 |
Questions
What is the 5133rd prime number?
49999.
Which prime number is 49999?
49999 is the 5133rd prime number.
What is the sum of the first 5133 primes?
121,013,308.