What is the 1787th prime number?
The 1787th prime number is 15299. The next prime is 15307 (a gap of 8) and the one before is 15289.
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 1787th one is 15299.
- 2
15299 is prime because no prime up to ā15299 ā 123.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1787th prime is close to 1787 Ć ln(1787) ā 13382, and here it is 15299.
- 4
15299 has no twin: neither 15297 nor 15301 is prime.
Primes around the 1787th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1784 | 15277 | 6 |
| 1785 | 15287 | 10 |
| 1786 | 15289 | 2 |
| 1787 | 15299 | 10 |
| 1788 | 15307 | 8 |
| 1789 | 15313 | 6 |
| 1790 | 15319 | 6 |
Questions
What is the 1787th prime number?
15299.
Which prime number is 15299?
15299 is the 1787th prime number.
What is the sum of the first 1787 primes?
12,796,398.