What is the 4616th prime number?
The 4616th prime number is 44381. The next prime is 44383 (a gap of 2) and the one before is 44371.
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 4616th one is 44381.
- 2
44381 is prime because no prime up to ā44381 ā 210.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4616th prime is close to 4616 Ć ln(4616) ā 38947, and here it is 44381.
- 4
44381 is a twin prime: 44381 and 44383 are both prime.
Primes around the 4616th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4613 | 44351 | 58 |
| 4614 | 44357 | 6 |
| 4615 | 44371 | 14 |
| 4616 | 44381 | 10 |
| 4617 | 44383 | 2 |
| 4618 | 44389 | 6 |
| 4619 | 44417 | 28 |
Questions
What is the 4616th prime number?
44381.
Which prime number is 44381?
44381 is the 4616th prime number.
What is the sum of the first 4616 primes?
96,595,993.