What is the 1570th prime number?
The 1570th prime number is 13187. The next prime is 13217 (a gap of 30) and the one before is 13183.
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 1570th one is 13187.
- 2
13187 is prime because no prime up to ā13187 ā 114.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1570th prime is close to 1570 Ć ln(1570) ā 11553, and here it is 13187.
- 4
13187 has no twin: neither 13185 nor 13189 is prime.
Primes around the 1570th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1567 | 13171 | 8 |
| 1568 | 13177 | 6 |
| 1569 | 13183 | 6 |
| 1570 | 13187 | 4 |
| 1571 | 13217 | 30 |
| 1572 | 13219 | 2 |
| 1573 | 13229 | 10 |
Questions
What is the 1570th prime number?
13187.
Which prime number is 13187?
13187 is the 1570th prime number.
What is the sum of the first 1570 primes?
9,698,427.