What is the 1822nd prime number?
The 1822nd prime number is 15629. The next prime is 15641 (a gap of 12) and the one before is 15619.
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 1822nd one is 15629.
- 2
15629 is prime because no prime up to ā15629 ā 125.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1822nd prime is close to 1822 Ć ln(1822) ā 13679, and here it is 15629.
- 4
15629 has no twin: neither 15627 nor 15631 is prime.
Primes around the 1822nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1819 | 15601 | 18 |
| 1820 | 15607 | 6 |
| 1821 | 15619 | 12 |
| 1822 | 15629 | 10 |
| 1823 | 15641 | 12 |
| 1824 | 15643 | 2 |
| 1825 | 15647 | 4 |
Questions
What is the 1822nd prime number?
15629.
Which prime number is 15629?
15629 is the 1822nd prime number.
What is the sum of the first 1822 primes?
13,337,433.