What is the 611th prime number?
The 611th prime number is 4507. The next prime is 4513 (a gap of 6) and the one before is 4493.
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 611th one is 4507.
- 2
4507 is prime because no prime up to ā4507 ā 67.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 611th prime is close to 611 Ć ln(611) ā 3920, and here it is 4507.
- 4
4507 has no twin: neither 4505 nor 4509 is prime.
Primes around the 611th
| Position | Prime | Gap from the previous |
|---|---|---|
| 608 | 4481 | 18 |
| 609 | 4483 | 2 |
| 610 | 4493 | 10 |
| 611 | 4507 | 14 |
| 612 | 4513 | 6 |
| 613 | 4517 | 4 |
| 614 | 4519 | 2 |
Questions
What is the 611th prime number?
4507.
Which prime number is 4507?
4507 is the 611th prime number.
What is the sum of the first 611 primes?
1,272,162.