What is the 1815th prime number?
The 1815th prime number is 15559. The next prime is 15569 (a gap of 10) and the one before is 15551.
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 1815th one is 15559.
- 2
15559 is prime because no prime up to ā15559 ā 124.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1815th prime is close to 1815 Ć ln(1815) ā 13619, and here it is 15559.
- 4
15559 has no twin: neither 15557 nor 15561 is prime.
Primes around the 1815th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1812 | 15527 | 16 |
| 1813 | 15541 | 14 |
| 1814 | 15551 | 10 |
| 1815 | 15559 | 8 |
| 1816 | 15569 | 10 |
| 1817 | 15581 | 12 |
| 1818 | 15583 | 2 |
Questions
What is the 1815th prime number?
15559.
Which prime number is 15559?
15559 is the 1815th prime number.
What is the sum of the first 1815 primes?
13,228,244.