What is the 1812th prime number?
The 1812th prime number is 15527. The next prime is 15541 (a gap of 14) and the one before is 15511.
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 1812th one is 15527.
- 2
15527 is prime because no prime up to ā15527 ā 124.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1812th prime is close to 1812 Ć ln(1812) ā 13594, and here it is 15527.
- 4
15527 has no twin: neither 15525 nor 15529 is prime.
Primes around the 1812th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1809 | 15493 | 20 |
| 1810 | 15497 | 4 |
| 1811 | 15511 | 14 |
| 1812 | 15527 | 16 |
| 1813 | 15541 | 14 |
| 1814 | 15551 | 10 |
| 1815 | 15559 | 8 |
Questions
What is the 1812th prime number?
15527.
Which prime number is 15527?
15527 is the 1812th prime number.
What is the sum of the first 1812 primes?
13,181,593.