What is the 1778th prime number?
The 1778th prime number is 15233. The next prime is 15241 (a gap of 8) and the one before is 15227.
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 1778th one is 15233.
- 2
15233 is prime because no prime up to ā15233 ā 123.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1778th prime is close to 1778 Ć ln(1778) ā 13305, and here it is 15233.
- 4
15233 has no twin: neither 15231 nor 15235 is prime.
Primes around the 1778th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1775 | 15199 | 6 |
| 1776 | 15217 | 18 |
| 1777 | 15227 | 10 |
| 1778 | 15233 | 6 |
| 1779 | 15241 | 8 |
| 1780 | 15259 | 18 |
| 1781 | 15263 | 4 |
Questions
What is the 1778th prime number?
15233.
Which prime number is 15233?
15233 is the 1778th prime number.
What is the sum of the first 1778 primes?
12,658,943.