What is the 1572nd prime number?
The 1572nd prime number is 13219. The next prime is 13229 (a gap of 10) and the one before is 13217.
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 1572nd one is 13219.
- 2
13219 is prime because no prime up to ā13219 ā 114.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1572nd prime is close to 1572 Ć ln(1572) ā 11570, and here it is 13219.
- 4
13219 is a twin prime: 13217 and 13219 are both prime.
Primes around the 1572nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1569 | 13183 | 6 |
| 1570 | 13187 | 4 |
| 1571 | 13217 | 30 |
| 1572 | 13219 | 2 |
| 1573 | 13229 | 10 |
| 1574 | 13241 | 12 |
| 1575 | 13249 | 8 |
Questions
What is the 1572nd prime number?
13219.
Which prime number is 13219?
13219 is the 1572nd prime number.
What is the sum of the first 1572 primes?
9,724,863.