What is the 1583rd prime number?
The 1583rd prime number is 13331. The next prime is 13337 (a gap of 6) and the one before is 13327.
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 1583rd one is 13331.
- 2
13331 is prime because no prime up to ā13331 ā 115.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1583rd prime is close to 1583 Ć ln(1583) ā 11662, and here it is 13331.
- 4
13331 has no twin: neither 13329 nor 13333 is prime.
Primes around the 1583rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1580 | 13309 | 12 |
| 1581 | 13313 | 4 |
| 1582 | 13327 | 14 |
| 1583 | 13331 | 4 |
| 1584 | 13337 | 6 |
| 1585 | 13339 | 2 |
| 1586 | 13367 | 28 |
Questions
What is the 1583rd prime number?
13331.
Which prime number is 13331?
13331 is the 1583rd prime number.
What is the sum of the first 1583 primes?
9,870,976.