What is the 5518th prime number?
The 5518th prime number is 54217. The next prime is 54251 (a gap of 34) and the one before is 54193.
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 5518th one is 54217.
- 2
54217 is prime because no prime up to ā54217 ā 232.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5518th prime is close to 5518 Ć ln(5518) ā 47542, and here it is 54217.
- 4
54217 has no twin: neither 54215 nor 54219 is prime.
Primes around the 5518th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5515 | 54167 | 4 |
| 5516 | 54181 | 14 |
| 5517 | 54193 | 12 |
| 5518 | 54217 | 24 |
| 5519 | 54251 | 34 |
| 5520 | 54269 | 18 |
| 5521 | 54277 | 8 |
Questions
What is the 5518th prime number?
54217.
Which prime number is 54217?
54217 is the 5518th prime number.
What is the sum of the first 5518 primes?
141,072,867.