What is the 5218th prime number?
The 5218th prime number is 50957. The next prime is 50969 (a gap of 12) and the one before is 50951.
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 5218th one is 50957.
- 2
50957 is prime because no prime up to ā50957 ā 225.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5218th prime is close to 5218 Ć ln(5218) ā 44665, and here it is 50957.
- 4
50957 has no twin: neither 50955 nor 50959 is prime.
Primes around the 5218th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5215 | 50923 | 14 |
| 5216 | 50929 | 6 |
| 5217 | 50951 | 22 |
| 5218 | 50957 | 6 |
| 5219 | 50969 | 12 |
| 5220 | 50971 | 2 |
| 5221 | 50989 | 18 |
Questions
What is the 5218th prime number?
50957.
Which prime number is 50957?
50957 is the 5218th prime number.
What is the sum of the first 5218 primes?
125,302,463.