What is the 1592nd prime number?
The 1592nd prime number is 13421. The next prime is 13441 (a gap of 20) and the one before is 13417.
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 1592nd one is 13421.
- 2
13421 is prime because no prime up to ā13421 ā 115.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1592nd prime is close to 1592 Ć ln(1592) ā 11737, and here it is 13421.
- 4
13421 has no twin: neither 13419 nor 13423 is prime.
Primes around the 1592nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1589 | 13399 | 2 |
| 1590 | 13411 | 12 |
| 1591 | 13417 | 6 |
| 1592 | 13421 | 4 |
| 1593 | 13441 | 20 |
| 1594 | 13451 | 10 |
| 1595 | 13457 | 6 |
Questions
What is the 1592nd prime number?
13421.
Which prime number is 13421?
13421 is the 1592nd prime number.
What is the sum of the first 1592 primes?
9,991,445.