What is the 5129th prime number?
The 5129th prime number is 49943. The next prime is 49957 (a gap of 14) and the one before is 49939.
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 5129th one is 49943.
- 2
49943 is prime because no prime up to ā49943 ā 223.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5129th prime is close to 5129 Ć ln(5129) ā 43815, and here it is 49943.
- 4
49943 has no twin: neither 49941 nor 49945 is prime.
Primes around the 5129th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5126 | 49927 | 6 |
| 5127 | 49937 | 10 |
| 5128 | 49939 | 2 |
| 5129 | 49943 | 4 |
| 5130 | 49957 | 14 |
| 5131 | 49991 | 34 |
| 5132 | 49993 | 2 |
Questions
What is the 5129th prime number?
49943.
Which prime number is 49943?
49943 is the 5129th prime number.
What is the sum of the first 5129 primes?
120,813,368.