What is the 5610th prime number?
The 5610th prime number is 55217. The next prime is 55219 (a gap of 2) and the one before is 55213.
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 5610th one is 55217.
- 2
55217 is prime because no prime up to ā55217 ā 234.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5610th prime is close to 5610 Ć ln(5610) ā 48427, and here it is 55217.
- 4
55217 is a twin prime: 55217 and 55219 are both prime.
Primes around the 5610th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5607 | 55201 | 30 |
| 5608 | 55207 | 6 |
| 5609 | 55213 | 6 |
| 5610 | 55217 | 4 |
| 5611 | 55219 | 2 |
| 5612 | 55229 | 10 |
| 5613 | 55243 | 14 |
Questions
What is the 5610th prime number?
55217.
Which prime number is 55217?
55217 is the 5610th prime number.
What is the sum of the first 5610 primes?
146,106,271.