What is the 4610th prime number?
The 4610th prime number is 44279. The next prime is 44281 (a gap of 2) and the one before is 44273.
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 4610th one is 44279.
- 2
44279 is prime because no prime up to ā44279 ā 210.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4610th prime is close to 4610 Ć ln(4610) ā 38890, and here it is 44279.
- 4
44279 is a twin prime: 44279 and 44281 are both prime.
Primes around the 4610th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4607 | 44267 | 4 |
| 4608 | 44269 | 2 |
| 4609 | 44273 | 4 |
| 4610 | 44279 | 6 |
| 4611 | 44281 | 2 |
| 4612 | 44293 | 12 |
| 4613 | 44351 | 58 |
Questions
What is the 4610th prime number?
44279.
Which prime number is 44279?
44279 is the 4610th prime number.
What is the sum of the first 4610 primes?
96,329,959.