What is the 577th prime number?
The 577th prime number is 4217. The next prime is 4219 (a gap of 2) and the one before is 4211.
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 577th one is 4217.
- 2
4217 is prime because no prime up to ā4217 ā 64.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 577th prime is close to 577 Ć ln(577) ā 3668, and here it is 4217.
- 4
4217 is a twin prime: 4217 and 4219 are both prime.
Primes around the 577th
| Position | Prime | Gap from the previous |
|---|---|---|
| 574 | 4177 | 18 |
| 575 | 4201 | 24 |
| 576 | 4211 | 10 |
| 577 | 4217 | 6 |
| 578 | 4219 | 2 |
| 579 | 4229 | 10 |
| 580 | 4231 | 2 |
Questions
What is the 577th prime number?
4217.
Which prime number is 4217?
4217 is the 577th prime number.
What is the sum of the first 577 primes?
1,124,104.