What is the 1783rd prime number?
The 1783rd prime number is 15271. The next prime is 15277 (a gap of 6) and the one before is 15269.
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 1783rd one is 15271.
- 2
15271 is prime because no prime up to ā15271 ā 123.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1783rd prime is close to 1783 Ć ln(1783) ā 13348, and here it is 15271.
- 4
15271 is a twin prime: 15269 and 15271 are both prime.
Primes around the 1783rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1780 | 15259 | 18 |
| 1781 | 15263 | 4 |
| 1782 | 15269 | 6 |
| 1783 | 15271 | 2 |
| 1784 | 15277 | 6 |
| 1785 | 15287 | 10 |
| 1786 | 15289 | 2 |
Questions
What is the 1783rd prime number?
15271.
Which prime number is 15271?
15271 is the 1783rd prime number.
What is the sum of the first 1783 primes?
12,735,246.