What is the 1821st prime number?
The 1821st prime number is 15619. The next prime is 15629 (a gap of 10) and the one before is 15607.
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 1821st one is 15619.
- 2
15619 is prime because no prime up to ā15619 ā 124.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1821st prime is close to 1821 Ć ln(1821) ā 13671, and here it is 15619.
- 4
15619 has no twin: neither 15617 nor 15621 is prime.
Primes around the 1821st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1818 | 15583 | 2 |
| 1819 | 15601 | 18 |
| 1820 | 15607 | 6 |
| 1821 | 15619 | 12 |
| 1822 | 15629 | 10 |
| 1823 | 15641 | 12 |
| 1824 | 15643 | 2 |
Questions
What is the 1821st prime number?
15619.
Which prime number is 15619?
15619 is the 1821st prime number.
What is the sum of the first 1821 primes?
13,321,804.