What is the 4609th prime number?
The 4609th prime number is 44273. The next prime is 44279 (a gap of 6) and the one before is 44269.
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 4609th one is 44273.
- 2
44273 is prime because no prime up to ā44273 ā 210.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4609th prime is close to 4609 Ć ln(4609) ā 38880, and here it is 44273.
- 4
44273 has no twin: neither 44271 nor 44275 is prime.
Primes around the 4609th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4606 | 44263 | 6 |
| 4607 | 44267 | 4 |
| 4608 | 44269 | 2 |
| 4609 | 44273 | 4 |
| 4610 | 44279 | 6 |
| 4611 | 44281 | 2 |
| 4612 | 44293 | 12 |
Questions
What is the 4609th prime number?
44273.
Which prime number is 44273?
44273 is the 4609th prime number.
What is the sum of the first 4609 primes?
96,285,680.