What is the 5153rd prime number?
The 5153rd prime number is 50177. The next prime is 50207 (a gap of 30) and the one before is 50159.
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 5153rd one is 50177.
- 2
50177 is prime because no prime up to ā50177 ā 224.00 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5153rd prime is close to 5153 Ć ln(5153) ā 44044, and here it is 50177.
- 4
50177 has no twin: neither 50175 nor 50179 is prime.
Primes around the 5153rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5150 | 50147 | 16 |
| 5151 | 50153 | 6 |
| 5152 | 50159 | 6 |
| 5153 | 50177 | 18 |
| 5154 | 50207 | 30 |
| 5155 | 50221 | 14 |
| 5156 | 50227 | 6 |
Questions
What is the 5153rd prime number?
50177.
Which prime number is 50177?
50177 is the 5153rd prime number.
What is the sum of the first 5153 primes?
122,015,212.