What is the 1773rd prime number?
The 1773rd prime number is 15187. The next prime is 15193 (a gap of 6) and the one before is 15173.
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 1773rd one is 15187.
- 2
15187 is prime because no prime up to ā15187 ā 123.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1773rd prime is close to 1773 Ć ln(1773) ā 13263, and here it is 15187.
- 4
15187 has no twin: neither 15185 nor 15189 is prime.
Primes around the 1773rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1770 | 15149 | 10 |
| 1771 | 15161 | 12 |
| 1772 | 15173 | 12 |
| 1773 | 15187 | 14 |
| 1774 | 15193 | 6 |
| 1775 | 15199 | 6 |
| 1776 | 15217 | 18 |
Questions
What is the 1773rd prime number?
15187.
Which prime number is 15187?
15187 is the 1773rd prime number.
What is the sum of the first 1773 primes?
12,582,874.