What is the 5202nd prime number?
The 5202nd prime number is 50773. The next prime is 50777 (a gap of 4) and the one before is 50767.
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 5202nd one is 50773.
- 2
50773 is prime because no prime up to ā50773 ā 225.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5202nd prime is close to 5202 Ć ln(5202) ā 44512, and here it is 50773.
- 4
50773 has no twin: neither 50771 nor 50775 is prime.
Primes around the 5202nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5199 | 50741 | 18 |
| 5200 | 50753 | 12 |
| 5201 | 50767 | 14 |
| 5202 | 50773 | 6 |
| 5203 | 50777 | 4 |
| 5204 | 50789 | 12 |
| 5205 | 50821 | 32 |
Questions
What is the 5202nd prime number?
50773.
Which prime number is 50773?
50773 is the 5202nd prime number.
What is the sum of the first 5202 primes?
124,488,505.