What is the 5217th prime number?
The 5217th prime number is 50951. The next prime is 50957 (a gap of 6) and the one before is 50929.
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 5217th one is 50951.
- 2
50951 is prime because no prime up to ā50951 ā 225.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5217th prime is close to 5217 Ć ln(5217) ā 44656, and here it is 50951.
- 4
50951 has no twin: neither 50949 nor 50953 is prime.
Primes around the 5217th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5214 | 50909 | 16 |
| 5215 | 50923 | 14 |
| 5216 | 50929 | 6 |
| 5217 | 50951 | 22 |
| 5218 | 50957 | 6 |
| 5219 | 50969 | 12 |
| 5220 | 50971 | 2 |
Questions
What is the 5217th prime number?
50951.
Which prime number is 50951?
50951 is the 5217th prime number.
What is the sum of the first 5217 primes?
125,251,506.