What is the 1763rd prime number?
The 1763rd prime number is 15091. The next prime is 15101 (a gap of 10) and the one before is 15083.
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 1763rd one is 15091.
- 2
15091 is prime because no prime up to ā15091 ā 122.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1763rd prime is close to 1763 Ć ln(1763) ā 13178, and here it is 15091.
- 4
15091 has no twin: neither 15089 nor 15093 is prime.
Primes around the 1763rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1760 | 15073 | 12 |
| 1761 | 15077 | 4 |
| 1762 | 15083 | 6 |
| 1763 | 15091 | 8 |
| 1764 | 15101 | 10 |
| 1765 | 15107 | 6 |
| 1766 | 15121 | 14 |
Questions
What is the 1763rd prime number?
15091.
Which prime number is 15091?
15091 is the 1763rd prime number.
What is the sum of the first 1763 primes?
12,431,468.