What is the 5519th prime number?
The 5519th prime number is 54251. The next prime is 54269 (a gap of 18) and the one before is 54217.
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 5519th one is 54251.
- 2
54251 is prime because no prime up to ā54251 ā 232.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5519th prime is close to 5519 Ć ln(5519) ā 47551, and here it is 54251.
- 4
54251 has no twin: neither 54249 nor 54253 is prime.
Primes around the 5519th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5516 | 54181 | 14 |
| 5517 | 54193 | 12 |
| 5518 | 54217 | 24 |
| 5519 | 54251 | 34 |
| 5520 | 54269 | 18 |
| 5521 | 54277 | 8 |
| 5522 | 54287 | 10 |
Questions
What is the 5519th prime number?
54251.
Which prime number is 54251?
54251 is the 5519th prime number.
What is the sum of the first 5519 primes?
141,127,118.