What is the 619th prime number?
The 619th prime number is 4567. The next prime is 4583 (a gap of 16) and the one before is 4561.
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 619th one is 4567.
- 2
4567 is prime because no prime up to ā4567 ā 67.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 619th prime is close to 619 Ć ln(619) ā 3979, and here it is 4567.
- 4
4567 has no twin: neither 4565 nor 4569 is prime.
Primes around the 619th
| Position | Prime | Gap from the previous |
|---|---|---|
| 616 | 4547 | 24 |
| 617 | 4549 | 2 |
| 618 | 4561 | 12 |
| 619 | 4567 | 6 |
| 620 | 4583 | 16 |
| 621 | 4591 | 8 |
| 622 | 4597 | 6 |
Questions
What is the 619th prime number?
4567.
Which prime number is 4567?
4567 is the 619th prime number.
What is the sum of the first 619 primes?
1,308,458.