What is the 4617th prime number?
The 4617th prime number is 44383. The next prime is 44389 (a gap of 6) and the one before is 44381.
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 4617th one is 44383.
- 2
44383 is prime because no prime up to ā44383 ā 210.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4617th prime is close to 4617 Ć ln(4617) ā 38956, and here it is 44383.
- 4
44383 is a twin prime: 44381 and 44383 are both prime.
Primes around the 4617th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4614 | 44357 | 6 |
| 4615 | 44371 | 14 |
| 4616 | 44381 | 10 |
| 4617 | 44383 | 2 |
| 4618 | 44389 | 6 |
| 4619 | 44417 | 28 |
| 4620 | 44449 | 32 |
Questions
What is the 4617th prime number?
44383.
Which prime number is 44383?
44383 is the 4617th prime number.
What is the sum of the first 4617 primes?
96,640,376.