What is the 5220th prime number?
The 5220th prime number is 50971. The next prime is 50989 (a gap of 18) and the one before is 50969.
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 5220th one is 50971.
- 2
50971 is prime because no prime up to ā50971 ā 225.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5220th prime is close to 5220 Ć ln(5220) ā 44685, and here it is 50971.
- 4
50971 is a twin prime: 50969 and 50971 are both prime.
Primes around the 5220th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5217 | 50951 | 22 |
| 5218 | 50957 | 6 |
| 5219 | 50969 | 12 |
| 5220 | 50971 | 2 |
| 5221 | 50989 | 18 |
| 5222 | 50993 | 4 |
| 5223 | 51001 | 8 |
Questions
What is the 5220th prime number?
50971.
Which prime number is 50971?
50971 is the 5220th prime number.
What is the sum of the first 5220 primes?
125,404,403.