What is the 560th prime number?
The 560th prime number is 4057. The next prime is 4073 (a gap of 16) and the one before is 4051.
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 560th one is 4057.
- 2
4057 is prime because no prime up to ā4057 ā 63.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 560th prime is close to 560 Ć ln(560) ā 3544, and here it is 4057.
- 4
4057 has no twin: neither 4055 nor 4059 is prime.
Primes around the 560th
| Position | Prime | Gap from the previous |
|---|---|---|
| 557 | 4027 | 6 |
| 558 | 4049 | 22 |
| 559 | 4051 | 2 |
| 560 | 4057 | 6 |
| 561 | 4073 | 16 |
| 562 | 4079 | 6 |
| 563 | 4091 | 12 |
Questions
What is the 560th prime number?
4057.
Which prime number is 4057?
4057 is the 560th prime number.
What is the sum of the first 560 primes?
1,053,755.