What is the 1564th prime number?
The 1564th prime number is 13151. The next prime is 13159 (a gap of 8) and the one before is 13147.
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 1564th one is 13151.
- 2
13151 is prime because no prime up to ā13151 ā 114.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1564th prime is close to 1564 Ć ln(1564) ā 11503, and here it is 13151.
- 4
13151 has no twin: neither 13149 nor 13153 is prime.
Primes around the 1564th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1561 | 13121 | 12 |
| 1562 | 13127 | 6 |
| 1563 | 13147 | 20 |
| 1564 | 13151 | 4 |
| 1565 | 13159 | 8 |
| 1566 | 13163 | 4 |
| 1567 | 13171 | 8 |
Questions
What is the 1564th prime number?
13151.
Which prime number is 13151?
13151 is the 1564th prime number.
What is the sum of the first 1564 primes?
9,619,387.