What is the 1573rd prime number?
The 1573rd prime number is 13229. The next prime is 13241 (a gap of 12) and the one before is 13219.
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 1573rd one is 13229.
- 2
13229 is prime because no prime up to ā13229 ā 115.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1573rd prime is close to 1573 Ć ln(1573) ā 11578, and here it is 13229.
- 4
13229 has no twin: neither 13227 nor 13231 is prime.
Primes around the 1573rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1570 | 13187 | 4 |
| 1571 | 13217 | 30 |
| 1572 | 13219 | 2 |
| 1573 | 13229 | 10 |
| 1574 | 13241 | 12 |
| 1575 | 13249 | 8 |
| 1576 | 13259 | 10 |
Questions
What is the 1573rd prime number?
13229.
Which prime number is 13229?
13229 is the 1573rd prime number.
What is the sum of the first 1573 primes?
9,738,092.