What is the 1567th prime number?
The 1567th prime number is 13171. The next prime is 13177 (a gap of 6) and the one before is 13163.
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 1567th one is 13171.
- 2
13171 is prime because no prime up to ā13171 ā 114.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1567th prime is close to 1567 Ć ln(1567) ā 11528, and here it is 13171.
- 4
13171 has no twin: neither 13169 nor 13173 is prime.
Primes around the 1567th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1564 | 13151 | 4 |
| 1565 | 13159 | 8 |
| 1566 | 13163 | 4 |
| 1567 | 13171 | 8 |
| 1568 | 13177 | 6 |
| 1569 | 13183 | 6 |
| 1570 | 13187 | 4 |
Questions
What is the 1567th prime number?
13171.
Which prime number is 13171?
13171 is the 1567th prime number.
What is the sum of the first 1567 primes?
9,658,880.