What is the 502nd prime number?
The 502nd prime number is 3583. The next prime is 3593 (a gap of 10) and the one before is 3581.
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 502nd one is 3583.
- 2
3583 is prime because no prime up to ā3583 ā 59.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 502nd prime is close to 502 Ć ln(502) ā 3122, and here it is 3583.
- 4
3583 is a twin prime: 3581 and 3583 are both prime.
Primes around the 502nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 499 | 3559 | 2 |
| 500 | 3571 | 12 |
| 501 | 3581 | 10 |
| 502 | 3583 | 2 |
| 503 | 3593 | 10 |
| 504 | 3607 | 14 |
| 505 | 3613 | 6 |
Questions
What is the 502nd prime number?
3583.
Which prime number is 3583?
3583 is the 502nd prime number.
What is the sum of the first 502 primes?
831,857.