What is the 504th prime number?
The 504th prime number is 3607. The next prime is 3613 (a gap of 6) and the one before is 3593.
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 504th one is 3607.
- 2
3607 is prime because no prime up to ā3607 ā 60.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 504th prime is close to 504 Ć ln(504) ā 3136, and here it is 3607.
- 4
3607 has no twin: neither 3605 nor 3609 is prime.
Primes around the 504th
| Position | Prime | Gap from the previous |
|---|---|---|
| 501 | 3581 | 10 |
| 502 | 3583 | 2 |
| 503 | 3593 | 10 |
| 504 | 3607 | 14 |
| 505 | 3613 | 6 |
| 506 | 3617 | 4 |
| 507 | 3623 | 6 |
Questions
What is the 504th prime number?
3607.
Which prime number is 3607?
3607 is the 504th prime number.
What is the sum of the first 504 primes?
839,057.