What is the 4608th prime number?
The 4608th prime number is 44269. The next prime is 44273 (a gap of 4) and the one before is 44267.
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 4608th one is 44269.
- 2
44269 is prime because no prime up to ā44269 ā 210.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4608th prime is close to 4608 Ć ln(4608) ā 38871, and here it is 44269.
- 4
44269 is a twin prime: 44267 and 44269 are both prime.
Primes around the 4608th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4605 | 44257 | 8 |
| 4606 | 44263 | 6 |
| 4607 | 44267 | 4 |
| 4608 | 44269 | 2 |
| 4609 | 44273 | 4 |
| 4610 | 44279 | 6 |
| 4611 | 44281 | 2 |
Questions
What is the 4608th prime number?
44269.
Which prime number is 44269?
44269 is the 4608th prime number.
What is the sum of the first 4608 primes?
96,241,407.