What is the 1590th prime number?
The 1590th prime number is 13411. The next prime is 13417 (a gap of 6) and the one before is 13399.
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 1590th one is 13411.
- 2
13411 is prime because no prime up to ā13411 ā 115.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1590th prime is close to 1590 Ć ln(1590) ā 11721, and here it is 13411.
- 4
13411 has no twin: neither 13409 nor 13413 is prime.
Primes around the 1590th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1587 | 13381 | 14 |
| 1588 | 13397 | 16 |
| 1589 | 13399 | 2 |
| 1590 | 13411 | 12 |
| 1591 | 13417 | 6 |
| 1592 | 13421 | 4 |
| 1593 | 13441 | 20 |
Questions
What is the 1590th prime number?
13411.
Which prime number is 13411?
13411 is the 1590th prime number.
What is the sum of the first 1590 primes?
9,964,607.