What is the 1788th prime number?
The 1788th prime number is 15307. The next prime is 15313 (a gap of 6) and the one before is 15299.
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 1788th one is 15307.
- 2
15307 is prime because no prime up to ā15307 ā 123.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1788th prime is close to 1788 Ć ln(1788) ā 13390, and here it is 15307.
- 4
15307 has no twin: neither 15305 nor 15309 is prime.
Primes around the 1788th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1785 | 15287 | 10 |
| 1786 | 15289 | 2 |
| 1787 | 15299 | 10 |
| 1788 | 15307 | 8 |
| 1789 | 15313 | 6 |
| 1790 | 15319 | 6 |
| 1791 | 15329 | 10 |
Questions
What is the 1788th prime number?
15307.
Which prime number is 15307?
15307 is the 1788th prime number.
What is the sum of the first 1788 primes?
12,811,705.