What is the 1789th prime number?
The 1789th prime number is 15313. The next prime is 15319 (a gap of 6) and the one before is 15307.
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 1789th one is 15313.
- 2
15313 is prime because no prime up to ā15313 ā 123.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1789th prime is close to 1789 Ć ln(1789) ā 13399, and here it is 15313.
- 4
15313 has no twin: neither 15311 nor 15315 is prime.
Primes around the 1789th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1786 | 15289 | 2 |
| 1787 | 15299 | 10 |
| 1788 | 15307 | 8 |
| 1789 | 15313 | 6 |
| 1790 | 15319 | 6 |
| 1791 | 15329 | 10 |
| 1792 | 15331 | 2 |
Questions
What is the 1789th prime number?
15313.
Which prime number is 15313?
15313 is the 1789th prime number.
What is the sum of the first 1789 primes?
12,827,018.