What is the 1771st prime number?
The 1771st prime number is 15161. The next prime is 15173 (a gap of 12) and the one before is 15149.
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 1771st one is 15161.
- 2
15161 is prime because no prime up to ā15161 ā 123.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1771st prime is close to 1771 Ć ln(1771) ā 13246, and here it is 15161.
- 4
15161 has no twin: neither 15159 nor 15163 is prime.
Primes around the 1771st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1768 | 15137 | 6 |
| 1769 | 15139 | 2 |
| 1770 | 15149 | 10 |
| 1771 | 15161 | 12 |
| 1772 | 15173 | 12 |
| 1773 | 15187 | 14 |
| 1774 | 15193 | 6 |
Questions
What is the 1771st prime number?
15161.
Which prime number is 15161?
15161 is the 1771st prime number.
What is the sum of the first 1771 primes?
12,552,514.