What is the 1785th prime number?
The 1785th prime number is 15287. The next prime is 15289 (a gap of 2) and the one before is 15277.
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 1785th one is 15287.
- 2
15287 is prime because no prime up to ā15287 ā 123.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1785th prime is close to 1785 Ć ln(1785) ā 13365, and here it is 15287.
- 4
15287 is a twin prime: 15287 and 15289 are both prime.
Primes around the 1785th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1782 | 15269 | 6 |
| 1783 | 15271 | 2 |
| 1784 | 15277 | 6 |
| 1785 | 15287 | 10 |
| 1786 | 15289 | 2 |
| 1787 | 15299 | 10 |
| 1788 | 15307 | 8 |
Questions
What is the 1785th prime number?
15287.
Which prime number is 15287?
15287 is the 1785th prime number.
What is the sum of the first 1785 primes?
12,765,810.