What is the 612th prime number?
The 612th prime number is 4513. The next prime is 4517 (a gap of 4) and the one before is 4507.
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 612th one is 4513.
- 2
4513 is prime because no prime up to ā4513 ā 67.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 612th prime is close to 612 Ć ln(612) ā 3927, and here it is 4513.
- 4
4513 has no twin: neither 4511 nor 4515 is prime.
Primes around the 612th
| Position | Prime | Gap from the previous |
|---|---|---|
| 609 | 4483 | 2 |
| 610 | 4493 | 10 |
| 611 | 4507 | 14 |
| 612 | 4513 | 6 |
| 613 | 4517 | 4 |
| 614 | 4519 | 2 |
| 615 | 4523 | 4 |
Questions
What is the 612th prime number?
4513.
Which prime number is 4513?
4513 is the 612th prime number.
What is the sum of the first 612 primes?
1,276,675.