What is the 512th prime number?
The 512th prime number is 3671. The next prime is 3673 (a gap of 2) and the one before is 3659.
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 512th one is 3671.
- 2
3671 is prime because no prime up to ā3671 ā 60.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 512th prime is close to 512 Ć ln(512) ā 3194, and here it is 3671.
- 4
3671 is a twin prime: 3671 and 3673 are both prime.
Primes around the 512th
| Position | Prime | Gap from the previous |
|---|---|---|
| 509 | 3637 | 6 |
| 510 | 3643 | 6 |
| 511 | 3659 | 16 |
| 512 | 3671 | 12 |
| 513 | 3673 | 2 |
| 514 | 3677 | 4 |
| 515 | 3691 | 14 |
Questions
What is the 512th prime number?
3671.
Which prime number is 3671?
3671 is the 512th prime number.
What is the sum of the first 512 primes?
868,151.