What is the 5609th prime number?
The 5609th prime number is 55213. The next prime is 55217 (a gap of 4) and the one before is 55207.
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 5609th one is 55213.
- 2
55213 is prime because no prime up to ā55213 ā 234.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5609th prime is close to 5609 Ć ln(5609) ā 48418, and here it is 55213.
- 4
55213 has no twin: neither 55211 nor 55215 is prime.
Primes around the 5609th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5606 | 55171 | 8 |
| 5607 | 55201 | 30 |
| 5608 | 55207 | 6 |
| 5609 | 55213 | 6 |
| 5610 | 55217 | 4 |
| 5611 | 55219 | 2 |
| 5612 | 55229 | 10 |
Questions
What is the 5609th prime number?
55213.
Which prime number is 55213?
55213 is the 5609th prime number.
What is the sum of the first 5609 primes?
146,051,054.