What is the 4607th prime number?
The 4607th prime number is 44267. The next prime is 44269 (a gap of 2) and the one before is 44263.
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 4607th one is 44267.
- 2
44267 is prime because no prime up to ā44267 ā 210.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4607th prime is close to 4607 Ć ln(4607) ā 38862, and here it is 44267.
- 4
44267 is a twin prime: 44267 and 44269 are both prime.
Primes around the 4607th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4604 | 44249 | 28 |
| 4605 | 44257 | 8 |
| 4606 | 44263 | 6 |
| 4607 | 44267 | 4 |
| 4608 | 44269 | 2 |
| 4609 | 44273 | 4 |
| 4610 | 44279 | 6 |
Questions
What is the 4607th prime number?
44267.
Which prime number is 44267?
44267 is the 4607th prime number.
What is the sum of the first 4607 primes?
96,197,138.