What is the 557th prime number?
The 557th prime number is 4027. The next prime is 4049 (a gap of 22) and the one before is 4021.
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 557th one is 4027.
- 2
4027 is prime because no prime up to ā4027 ā 63.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 557th prime is close to 557 Ć ln(557) ā 3522, and here it is 4027.
- 4
4027 has no twin: neither 4025 nor 4029 is prime.
Primes around the 557th
| Position | Prime | Gap from the previous |
|---|---|---|
| 554 | 4013 | 6 |
| 555 | 4019 | 6 |
| 556 | 4021 | 2 |
| 557 | 4027 | 6 |
| 558 | 4049 | 22 |
| 559 | 4051 | 2 |
| 560 | 4057 | 6 |
Questions
What is the 557th prime number?
4027.
Which prime number is 4027?
4027 is the 557th prime number.
What is the sum of the first 557 primes?
1,041,598.