What is the 1566th prime number?
The 1566th prime number is 13163. The next prime is 13171 (a gap of 8) and the one before is 13159.
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 1566th one is 13163.
- 2
13163 is prime because no prime up to ā13163 ā 114.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1566th prime is close to 1566 Ć ln(1566) ā 11520, and here it is 13163.
- 4
13163 has no twin: neither 13161 nor 13165 is prime.
Primes around the 1566th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1563 | 13147 | 20 |
| 1564 | 13151 | 4 |
| 1565 | 13159 | 8 |
| 1566 | 13163 | 4 |
| 1567 | 13171 | 8 |
| 1568 | 13177 | 6 |
| 1569 | 13183 | 6 |
Questions
What is the 1566th prime number?
13163.
Which prime number is 13163?
13163 is the 1566th prime number.
What is the sum of the first 1566 primes?
9,645,709.