What is the 1569th prime number?
The 1569th prime number is 13183. The next prime is 13187 (a gap of 4) and the one before is 13177.
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 1569th one is 13183.
- 2
13183 is prime because no prime up to ā13183 ā 114.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1569th prime is close to 1569 Ć ln(1569) ā 11545, and here it is 13183.
- 4
13183 has no twin: neither 13181 nor 13185 is prime.
Primes around the 1569th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1566 | 13163 | 4 |
| 1567 | 13171 | 8 |
| 1568 | 13177 | 6 |
| 1569 | 13183 | 6 |
| 1570 | 13187 | 4 |
| 1571 | 13217 | 30 |
| 1572 | 13219 | 2 |
Questions
What is the 1569th prime number?
13183.
Which prime number is 13183?
13183 is the 1569th prime number.
What is the sum of the first 1569 primes?
9,685,240.