What is the 5216th prime number?
The 5216th prime number is 50929. The next prime is 50951 (a gap of 22) and the one before is 50923.
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 5216th one is 50929.
- 2
50929 is prime because no prime up to ā50929 ā 225.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5216th prime is close to 5216 Ć ln(5216) ā 44646, and here it is 50929.
- 4
50929 has no twin: neither 50927 nor 50931 is prime.
Primes around the 5216th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5213 | 50893 | 2 |
| 5214 | 50909 | 16 |
| 5215 | 50923 | 14 |
| 5216 | 50929 | 6 |
| 5217 | 50951 | 22 |
| 5218 | 50957 | 6 |
| 5219 | 50969 | 12 |
Questions
What is the 5216th prime number?
50929.
Which prime number is 50929?
50929 is the 5216th prime number.
What is the sum of the first 5216 primes?
125,200,555.