What is the 581st prime number?
The 581st prime number is 4241. The next prime is 4243 (a gap of 2) and the one before is 4231.
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 581st one is 4241.
- 2
4241 is prime because no prime up to ā4241 ā 65.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 581st prime is close to 581 Ć ln(581) ā 3698, and here it is 4241.
- 4
4241 is a twin prime: 4241 and 4243 are both prime.
Primes around the 581st
| Position | Prime | Gap from the previous |
|---|---|---|
| 578 | 4219 | 2 |
| 579 | 4229 | 10 |
| 580 | 4231 | 2 |
| 581 | 4241 | 10 |
| 582 | 4243 | 2 |
| 583 | 4253 | 10 |
| 584 | 4259 | 6 |
Questions
What is the 581st prime number?
4241.
Which prime number is 4241?
4241 is the 581st prime number.
What is the sum of the first 581 primes?
1,141,024.