What is the 481st prime number?
The 481st prime number is 3433. The next prime is 3449 (a gap of 16) and the one before is 3413.
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 481st one is 3433.
- 2
3433 is prime because no prime up to ā3433 ā 58.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 481st prime is close to 481 Ć ln(481) ā 2971, and here it is 3433.
- 4
3433 has no twin: neither 3431 nor 3435 is prime.
Primes around the 481st
| Position | Prime | Gap from the previous |
|---|---|---|
| 478 | 3391 | 2 |
| 479 | 3407 | 16 |
| 480 | 3413 | 6 |
| 481 | 3433 | 20 |
| 482 | 3449 | 16 |
| 483 | 3457 | 8 |
| 484 | 3461 | 4 |
Questions
What is the 481st prime number?
3433.
Which prime number is 3433?
3433 is the 481st prime number.
What is the sum of the first 481 primes?
758,006.