What is the 5152nd prime number?
The 5152nd prime number is 50159. The next prime is 50177 (a gap of 18) and the one before is 50153.
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 5152nd one is 50159.
- 2
50159 is prime because no prime up to ā50159 ā 223.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5152nd prime is close to 5152 Ć ln(5152) ā 44035, and here it is 50159.
- 4
50159 has no twin: neither 50157 nor 50161 is prime.
Primes around the 5152nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5149 | 50131 | 2 |
| 5150 | 50147 | 16 |
| 5151 | 50153 | 6 |
| 5152 | 50159 | 6 |
| 5153 | 50177 | 18 |
| 5154 | 50207 | 30 |
| 5155 | 50221 | 14 |
Questions
What is the 5152nd prime number?
50159.
Which prime number is 50159?
50159 is the 5152nd prime number.
What is the sum of the first 5152 primes?
121,965,035.