What is the 5201st prime number?
The 5201st prime number is 50767. The next prime is 50773 (a gap of 6) and the one before is 50753.
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 5201st one is 50767.
- 2
50767 is prime because no prime up to ā50767 ā 225.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5201st prime is close to 5201 Ć ln(5201) ā 44503, and here it is 50767.
- 4
50767 has no twin: neither 50765 nor 50769 is prime.
Primes around the 5201st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5198 | 50723 | 16 |
| 5199 | 50741 | 18 |
| 5200 | 50753 | 12 |
| 5201 | 50767 | 14 |
| 5202 | 50773 | 6 |
| 5203 | 50777 | 4 |
| 5204 | 50789 | 12 |
Questions
What is the 5201st prime number?
50767.
Which prime number is 50767?
50767 is the 5201st prime number.
What is the sum of the first 5201 primes?
124,437,732.