What is the 1774th prime number?
The 1774th prime number is 15193. The next prime is 15199 (a gap of 6) and the one before is 15187.
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 1774th one is 15193.
- 2
15193 is prime because no prime up to ā15193 ā 123.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1774th prime is close to 1774 Ć ln(1774) ā 13271, and here it is 15193.
- 4
15193 has no twin: neither 15191 nor 15195 is prime.
Primes around the 1774th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1771 | 15161 | 12 |
| 1772 | 15173 | 12 |
| 1773 | 15187 | 14 |
| 1774 | 15193 | 6 |
| 1775 | 15199 | 6 |
| 1776 | 15217 | 18 |
| 1777 | 15227 | 10 |
Questions
What is the 1774th prime number?
15193.
Which prime number is 15193?
15193 is the 1774th prime number.
What is the sum of the first 1774 primes?
12,598,067.