What is the 562nd prime number?
The 562nd prime number is 4079. The next prime is 4091 (a gap of 12) and the one before is 4073.
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 562nd one is 4079.
- 2
4079 is prime because no prime up to ā4079 ā 63.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 562nd prime is close to 562 Ć ln(562) ā 3558, and here it is 4079.
- 4
4079 has no twin: neither 4077 nor 4081 is prime.
Primes around the 562nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 559 | 4051 | 2 |
| 560 | 4057 | 6 |
| 561 | 4073 | 16 |
| 562 | 4079 | 6 |
| 563 | 4091 | 12 |
| 564 | 4093 | 2 |
| 565 | 4099 | 6 |
Questions
What is the 562nd prime number?
4079.
Which prime number is 4079?
4079 is the 562nd prime number.
What is the sum of the first 562 primes?
1,061,907.