What is the 5181st prime number?
The 5181st prime number is 50513. The next prime is 50527 (a gap of 14) and the one before is 50503.
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 5181st one is 50513.
- 2
50513 is prime because no prime up to ā50513 ā 224.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5181st prime is close to 5181 Ć ln(5181) ā 44312, and here it is 50513.
- 4
50513 has no twin: neither 50511 nor 50515 is prime.
Primes around the 5181st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5178 | 50461 | 2 |
| 5179 | 50497 | 36 |
| 5180 | 50503 | 6 |
| 5181 | 50513 | 10 |
| 5182 | 50527 | 14 |
| 5183 | 50539 | 12 |
| 5184 | 50543 | 4 |
Questions
What is the 5181st prime number?
50513.
Which prime number is 50513?
50513 is the 5181st prime number.
What is the sum of the first 5181 primes?
123,425,102.