What is the 5052nd prime number?
The 5052nd prime number is 49157. The next prime is 49169 (a gap of 12) and the one before is 49139.
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 5052nd one is 49157.
- 2
49157 is prime because no prime up to ā49157 ā 221.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5052nd prime is close to 5052 Ć ln(5052) ā 43081, and here it is 49157.
- 4
49157 has no twin: neither 49155 nor 49159 is prime.
Primes around the 5052nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5049 | 49121 | 4 |
| 5050 | 49123 | 2 |
| 5051 | 49139 | 16 |
| 5052 | 49157 | 18 |
| 5053 | 49169 | 12 |
| 5054 | 49171 | 2 |
| 5055 | 49177 | 6 |
Questions
What is the 5052nd prime number?
49157.
Which prime number is 49157?
49157 is the 5052nd prime number.
What is the sum of the first 5052 primes?
116,997,489.