What is the 5612th prime number?
The 5612th prime number is 55229. The next prime is 55243 (a gap of 14) and the one before is 55219.
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 5612th one is 55229.
- 2
55229 is prime because no prime up to ā55229 ā 235.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5612th prime is close to 5612 Ć ln(5612) ā 48447, and here it is 55229.
- 4
55229 has no twin: neither 55227 nor 55231 is prime.
Primes around the 5612th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5609 | 55213 | 6 |
| 5610 | 55217 | 4 |
| 5611 | 55219 | 2 |
| 5612 | 55229 | 10 |
| 5613 | 55243 | 14 |
| 5614 | 55249 | 6 |
| 5615 | 55259 | 10 |
Questions
What is the 5612th prime number?
55229.
Which prime number is 55229?
55229 is the 5612th prime number.
What is the sum of the first 5612 primes?
146,216,719.