What is the 511th prime number?
The 511th prime number is 3659. The next prime is 3671 (a gap of 12) and the one before is 3643.
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 511th one is 3659.
- 2
3659 is prime because no prime up to ā3659 ā 60.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 511th prime is close to 511 Ć ln(511) ā 3187, and here it is 3659.
- 4
3659 has no twin: neither 3657 nor 3661 is prime.
Primes around the 511th
| Position | Prime | Gap from the previous |
|---|---|---|
| 508 | 3631 | 8 |
| 509 | 3637 | 6 |
| 510 | 3643 | 6 |
| 511 | 3659 | 16 |
| 512 | 3671 | 12 |
| 513 | 3673 | 2 |
| 514 | 3677 | 4 |
Questions
What is the 511th prime number?
3659.
Which prime number is 3659?
3659 is the 511th prime number.
What is the sum of the first 511 primes?
864,480.