What is the 519th prime number?
The 519th prime number is 3719. The next prime is 3727 (a gap of 8) and the one before is 3709.
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 519th one is 3719.
- 2
3719 is prime because no prime up to ā3719 ā 60.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 519th prime is close to 519 Ć ln(519) ā 3245, and here it is 3719.
- 4
3719 has no twin: neither 3717 nor 3721 is prime.
Primes around the 519th
| Position | Prime | Gap from the previous |
|---|---|---|
| 516 | 3697 | 6 |
| 517 | 3701 | 4 |
| 518 | 3709 | 8 |
| 519 | 3719 | 10 |
| 520 | 3727 | 8 |
| 521 | 3733 | 6 |
| 522 | 3739 | 6 |
Questions
What is the 519th prime number?
3719.
Which prime number is 3719?
3719 is the 519th prime number.
What is the sum of the first 519 primes?
894,018.