What is the 1826th prime number?
The 1826th prime number is 15649. The next prime is 15661 (a gap of 12) and the one before is 15647.
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 1826th one is 15649.
- 2
15649 is prime because no prime up to ā15649 ā 125.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1826th prime is close to 1826 Ć ln(1826) ā 13713, and here it is 15649.
- 4
15649 is a twin prime: 15647 and 15649 are both prime.
Primes around the 1826th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1823 | 15641 | 12 |
| 1824 | 15643 | 2 |
| 1825 | 15647 | 4 |
| 1826 | 15649 | 2 |
| 1827 | 15661 | 12 |
| 1828 | 15667 | 6 |
| 1829 | 15671 | 4 |
Questions
What is the 1826th prime number?
15649.
Which prime number is 15649?
15649 is the 1826th prime number.
What is the sum of the first 1826 primes?
13,400,013.