What is the 5619th prime number?
The 5619th prime number is 55333. The next prime is 55337 (a gap of 4) and the one before is 55331.
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 5619th one is 55333.
- 2
55333 is prime because no prime up to ā55333 ā 235.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5619th prime is close to 5619 Ć ln(5619) ā 48514, and here it is 55333.
- 4
55333 is a twin prime: 55331 and 55333 are both prime.
Primes around the 5619th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5616 | 55291 | 32 |
| 5617 | 55313 | 22 |
| 5618 | 55331 | 18 |
| 5619 | 55333 | 2 |
| 5620 | 55337 | 4 |
| 5621 | 55339 | 2 |
| 5622 | 55343 | 4 |
Questions
What is the 5619th prime number?
55333.
Which prime number is 55333?
55333 is the 5619th prime number.
What is the sum of the first 5619 primes?
146,603,738.