What is the 4618th prime number?
The 4618th prime number is 44389. The next prime is 44417 (a gap of 28) and the one before is 44383.
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 4618th one is 44389.
- 2
44389 is prime because no prime up to ā44389 ā 210.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4618th prime is close to 4618 Ć ln(4618) ā 38965, and here it is 44389.
- 4
44389 has no twin: neither 44387 nor 44391 is prime.
Primes around the 4618th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4615 | 44371 | 14 |
| 4616 | 44381 | 10 |
| 4617 | 44383 | 2 |
| 4618 | 44389 | 6 |
| 4619 | 44417 | 28 |
| 4620 | 44449 | 32 |
| 4621 | 44453 | 4 |
Questions
What is the 4618th prime number?
44389.
Which prime number is 44389?
44389 is the 4618th prime number.
What is the sum of the first 4618 primes?
96,684,765.