What is the 618th prime number?
The 618th prime number is 4561. The next prime is 4567 (a gap of 6) and the one before is 4549.
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 618th one is 4561.
- 2
4561 is prime because no prime up to ā4561 ā 67.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 618th prime is close to 618 Ć ln(618) ā 3972, and here it is 4561.
- 4
4561 has no twin: neither 4559 nor 4563 is prime.
Primes around the 618th
| Position | Prime | Gap from the previous |
|---|---|---|
| 615 | 4523 | 4 |
| 616 | 4547 | 24 |
| 617 | 4549 | 2 |
| 618 | 4561 | 12 |
| 619 | 4567 | 6 |
| 620 | 4583 | 16 |
| 621 | 4591 | 8 |
Questions
What is the 618th prime number?
4561.
Which prime number is 4561?
4561 is the 618th prime number.
What is the sum of the first 618 primes?
1,303,891.