What is the 5618th prime number?
The 5618th prime number is 55331. The next prime is 55333 (a gap of 2) and the one before is 55313.
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 5618th one is 55331.
- 2
55331 is prime because no prime up to ā55331 ā 235.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5618th prime is close to 5618 Ć ln(5618) ā 48504, and here it is 55331.
- 4
55331 is a twin prime: 55331 and 55333 are both prime.
Primes around the 5618th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5615 | 55259 | 10 |
| 5616 | 55291 | 32 |
| 5617 | 55313 | 22 |
| 5618 | 55331 | 18 |
| 5619 | 55333 | 2 |
| 5620 | 55337 | 4 |
| 5621 | 55339 | 2 |
Questions
What is the 5618th prime number?
55331.
Which prime number is 55331?
55331 is the 5618th prime number.
What is the sum of the first 5618 primes?
146,548,405.