What is the 507th prime number?
The 507th prime number is 3623. The next prime is 3631 (a gap of 8) and the one before is 3617.
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 507th one is 3623.
- 2
3623 is prime because no prime up to ā3623 ā 60.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 507th prime is close to 507 Ć ln(507) ā 3158, and here it is 3623.
- 4
3623 has no twin: neither 3621 nor 3625 is prime.
Primes around the 507th
| Position | Prime | Gap from the previous |
|---|---|---|
| 504 | 3607 | 14 |
| 505 | 3613 | 6 |
| 506 | 3617 | 4 |
| 507 | 3623 | 6 |
| 508 | 3631 | 8 |
| 509 | 3637 | 6 |
| 510 | 3643 | 6 |
Questions
What is the 507th prime number?
3623.
Which prime number is 3623?
3623 is the 507th prime number.
What is the sum of the first 507 primes?
849,910.