What is the 1565th prime number?
The 1565th prime number is 13159. The next prime is 13163 (a gap of 4) and the one before is 13151.
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 1565th one is 13159.
- 2
13159 is prime because no prime up to ā13159 ā 114.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1565th prime is close to 1565 Ć ln(1565) ā 11512, and here it is 13159.
- 4
13159 has no twin: neither 13157 nor 13161 is prime.
Primes around the 1565th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1562 | 13127 | 6 |
| 1563 | 13147 | 20 |
| 1564 | 13151 | 4 |
| 1565 | 13159 | 8 |
| 1566 | 13163 | 4 |
| 1567 | 13171 | 8 |
| 1568 | 13177 | 6 |
Questions
What is the 1565th prime number?
13159.
Which prime number is 13159?
13159 is the 1565th prime number.
What is the sum of the first 1565 primes?
9,632,546.