What is the 1568th prime number?
The 1568th prime number is 13177. The next prime is 13183 (a gap of 6) and the one before is 13171.
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 1568th one is 13177.
- 2
13177 is prime because no prime up to ā13177 ā 114.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1568th prime is close to 1568 Ć ln(1568) ā 11537, and here it is 13177.
- 4
13177 has no twin: neither 13175 nor 13179 is prime.
Primes around the 1568th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1565 | 13159 | 8 |
| 1566 | 13163 | 4 |
| 1567 | 13171 | 8 |
| 1568 | 13177 | 6 |
| 1569 | 13183 | 6 |
| 1570 | 13187 | 4 |
| 1571 | 13217 | 30 |
Questions
What is the 1568th prime number?
13177.
Which prime number is 13177?
13177 is the 1568th prime number.
What is the sum of the first 1568 primes?
9,672,057.