What is the 615th prime number?
The 615th prime number is 4523. The next prime is 4547 (a gap of 24) and the one before is 4519.
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 615th one is 4523.
- 2
4523 is prime because no prime up to ā4523 ā 67.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 615th prime is close to 615 Ć ln(615) ā 3949, and here it is 4523.
- 4
4523 has no twin: neither 4521 nor 4525 is prime.
Primes around the 615th
| Position | Prime | Gap from the previous |
|---|---|---|
| 612 | 4513 | 6 |
| 613 | 4517 | 4 |
| 614 | 4519 | 2 |
| 615 | 4523 | 4 |
| 616 | 4547 | 24 |
| 617 | 4549 | 2 |
| 618 | 4561 | 12 |
Questions
What is the 615th prime number?
4523.
Which prime number is 4523?
4523 is the 615th prime number.
What is the sum of the first 615 primes?
1,290,234.