What is the 5200th prime number?
The 5200th prime number is 50753. The next prime is 50767 (a gap of 14) and the one before is 50741.
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 5200th one is 50753.
- 2
50753 is prime because no prime up to ā50753 ā 225.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5200th prime is close to 5200 Ć ln(5200) ā 44493, and here it is 50753.
- 4
50753 has no twin: neither 50751 nor 50755 is prime.
Primes around the 5200th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5197 | 50707 | 24 |
| 5198 | 50723 | 16 |
| 5199 | 50741 | 18 |
| 5200 | 50753 | 12 |
| 5201 | 50767 | 14 |
| 5202 | 50773 | 6 |
| 5203 | 50777 | 4 |
Questions
What is the 5200th prime number?
50753.
Which prime number is 50753?
50753 is the 5200th prime number.
What is the sum of the first 5200 primes?
124,386,965.