What is the 520th prime number?
The 520th prime number is 3727. The next prime is 3733 (a gap of 6) and the one before is 3719.
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 520th one is 3727.
- 2
3727 is prime because no prime up to ā3727 ā 61.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 520th prime is close to 520 Ć ln(520) ā 3252, and here it is 3727.
- 4
3727 has no twin: neither 3725 nor 3729 is prime.
Primes around the 520th
| Position | Prime | Gap from the previous |
|---|---|---|
| 517 | 3701 | 4 |
| 518 | 3709 | 8 |
| 519 | 3719 | 10 |
| 520 | 3727 | 8 |
| 521 | 3733 | 6 |
| 522 | 3739 | 6 |
| 523 | 3761 | 22 |
Questions
What is the 520th prime number?
3727.
Which prime number is 3727?
3727 is the 520th prime number.
What is the sum of the first 520 primes?
897,745.