What is the 5611th prime number?
The 5611th prime number is 55219. The next prime is 55229 (a gap of 10) and the one before is 55217.
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 5611th one is 55219.
- 2
55219 is prime because no prime up to ā55219 ā 234.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5611th prime is close to 5611 Ć ln(5611) ā 48437, and here it is 55219.
- 4
55219 is a twin prime: 55217 and 55219 are both prime.
Primes around the 5611th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5608 | 55207 | 6 |
| 5609 | 55213 | 6 |
| 5610 | 55217 | 4 |
| 5611 | 55219 | 2 |
| 5612 | 55229 | 10 |
| 5613 | 55243 | 14 |
| 5614 | 55249 | 6 |
Questions
What is the 5611th prime number?
55219.
Which prime number is 55219?
55219 is the 5611th prime number.
What is the sum of the first 5611 primes?
146,161,490.