What is the 1571st prime number?
The 1571st prime number is 13217. The next prime is 13219 (a gap of 2) and the one before is 13187.
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 1571st one is 13217.
- 2
13217 is prime because no prime up to ā13217 ā 114.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1571st prime is close to 1571 Ć ln(1571) ā 11562, and here it is 13217.
- 4
13217 is a twin prime: 13217 and 13219 are both prime.
Primes around the 1571st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1568 | 13177 | 6 |
| 1569 | 13183 | 6 |
| 1570 | 13187 | 4 |
| 1571 | 13217 | 30 |
| 1572 | 13219 | 2 |
| 1573 | 13229 | 10 |
| 1574 | 13241 | 12 |
Questions
What is the 1571st prime number?
13217.
Which prime number is 13217?
13217 is the 1571st prime number.
What is the sum of the first 1571 primes?
9,711,644.