What is the 1779th prime number?
The 1779th prime number is 15241. The next prime is 15259 (a gap of 18) and the one before is 15233.
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 1779th one is 15241.
- 2
15241 is prime because no prime up to ā15241 ā 123.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1779th prime is close to 1779 Ć ln(1779) ā 13314, and here it is 15241.
- 4
15241 has no twin: neither 15239 nor 15243 is prime.
Primes around the 1779th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1776 | 15217 | 18 |
| 1777 | 15227 | 10 |
| 1778 | 15233 | 6 |
| 1779 | 15241 | 8 |
| 1780 | 15259 | 18 |
| 1781 | 15263 | 4 |
| 1782 | 15269 | 6 |
Questions
What is the 1779th prime number?
15241.
Which prime number is 15241?
15241 is the 1779th prime number.
What is the sum of the first 1779 primes?
12,674,184.