What is the 1780th prime number?
The 1780th prime number is 15259. The next prime is 15263 (a gap of 4) and the one before is 15241.
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 1780th one is 15259.
- 2
15259 is prime because no prime up to ā15259 ā 123.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1780th prime is close to 1780 Ć ln(1780) ā 13322, and here it is 15259.
- 4
15259 has no twin: neither 15257 nor 15261 is prime.
Primes around the 1780th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1777 | 15227 | 10 |
| 1778 | 15233 | 6 |
| 1779 | 15241 | 8 |
| 1780 | 15259 | 18 |
| 1781 | 15263 | 4 |
| 1782 | 15269 | 6 |
| 1783 | 15271 | 2 |
Questions
What is the 1780th prime number?
15259.
Which prime number is 15259?
15259 is the 1780th prime number.
What is the sum of the first 1780 primes?
12,689,443.