What is the 1823rd prime number?
The 1823rd prime number is 15641. The next prime is 15643 (a gap of 2) and the one before is 15629.
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 1823rd one is 15641.
- 2
15641 is prime because no prime up to ā15641 ā 125.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1823rd prime is close to 1823 Ć ln(1823) ā 13688, and here it is 15641.
- 4
15641 is a twin prime: 15641 and 15643 are both prime.
Primes around the 1823rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1820 | 15607 | 6 |
| 1821 | 15619 | 12 |
| 1822 | 15629 | 10 |
| 1823 | 15641 | 12 |
| 1824 | 15643 | 2 |
| 1825 | 15647 | 4 |
| 1826 | 15649 | 2 |
Questions
What is the 1823rd prime number?
15641.
Which prime number is 15641?
15641 is the 1823rd prime number.
What is the sum of the first 1823 primes?
13,353,074.