What is the 5053rd prime number?
The 5053rd prime number is 49169. The next prime is 49171 (a gap of 2) and the one before is 49157.
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 5053rd one is 49169.
- 2
49169 is prime because no prime up to ā49169 ā 221.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5053rd prime is close to 5053 Ć ln(5053) ā 43091, and here it is 49169.
- 4
49169 is a twin prime: 49169 and 49171 are both prime.
Primes around the 5053rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5050 | 49123 | 2 |
| 5051 | 49139 | 16 |
| 5052 | 49157 | 18 |
| 5053 | 49169 | 12 |
| 5054 | 49171 | 2 |
| 5055 | 49177 | 6 |
| 5056 | 49193 | 16 |
Questions
What is the 5053rd prime number?
49169.
Which prime number is 49169?
49169 is the 5053rd prime number.
What is the sum of the first 5053 primes?
117,046,658.