What is the 578th prime number?
The 578th prime number is 4219. The next prime is 4229 (a gap of 10) and the one before is 4217.
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 578th one is 4219.
- 2
4219 is prime because no prime up to ā4219 ā 64.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 578th prime is close to 578 Ć ln(578) ā 3676, and here it is 4219.
- 4
4219 is a twin prime: 4217 and 4219 are both prime.
Primes around the 578th
| Position | Prime | Gap from the previous |
|---|---|---|
| 575 | 4201 | 24 |
| 576 | 4211 | 10 |
| 577 | 4217 | 6 |
| 578 | 4219 | 2 |
| 579 | 4229 | 10 |
| 580 | 4231 | 2 |
| 581 | 4241 | 10 |
Questions
What is the 578th prime number?
4219.
Which prime number is 4219?
4219 is the 578th prime number.
What is the sum of the first 578 primes?
1,128,323.