What is the 555th prime number?
The 555th prime number is 4019. The next prime is 4021 (a gap of 2) and the one before is 4013.
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 555th one is 4019.
- 2
4019 is prime because no prime up to ā4019 ā 63.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 555th prime is close to 555 Ć ln(555) ā 3507, and here it is 4019.
- 4
4019 is a twin prime: 4019 and 4021 are both prime.
Primes around the 555th
| Position | Prime | Gap from the previous |
|---|---|---|
| 552 | 4003 | 2 |
| 553 | 4007 | 4 |
| 554 | 4013 | 6 |
| 555 | 4019 | 6 |
| 556 | 4021 | 2 |
| 557 | 4027 | 6 |
| 558 | 4049 | 22 |
Questions
What is the 555th prime number?
4019.
Which prime number is 4019?
4019 is the 555th prime number.
What is the sum of the first 555 primes?
1,033,550.