What is the 1825th prime number?
The 1825th prime number is 15647. The next prime is 15649 (a gap of 2) and the one before is 15643.
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 1825th one is 15647.
- 2
15647 is prime because no prime up to ā15647 ā 125.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1825th prime is close to 1825 Ć ln(1825) ā 13705, and here it is 15647.
- 4
15647 is a twin prime: 15647 and 15649 are both prime.
Primes around the 1825th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1822 | 15629 | 10 |
| 1823 | 15641 | 12 |
| 1824 | 15643 | 2 |
| 1825 | 15647 | 4 |
| 1826 | 15649 | 2 |
| 1827 | 15661 | 12 |
| 1828 | 15667 | 6 |
Questions
What is the 1825th prime number?
15647.
Which prime number is 15647?
15647 is the 1825th prime number.
What is the sum of the first 1825 primes?
13,384,364.