What is the 1593rd prime number?
The 1593rd prime number is 13441. The next prime is 13451 (a gap of 10) and the one before is 13421.
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 1593rd one is 13441.
- 2
13441 is prime because no prime up to ā13441 ā 115.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1593rd prime is close to 1593 Ć ln(1593) ā 11746, and here it is 13441.
- 4
13441 has no twin: neither 13439 nor 13443 is prime.
Primes around the 1593rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1590 | 13411 | 12 |
| 1591 | 13417 | 6 |
| 1592 | 13421 | 4 |
| 1593 | 13441 | 20 |
| 1594 | 13451 | 10 |
| 1595 | 13457 | 6 |
| 1596 | 13463 | 6 |
Questions
What is the 1593rd prime number?
13441.
Which prime number is 13441?
13441 is the 1593rd prime number.
What is the sum of the first 1593 primes?
10,004,886.