What is the 1819th prime number?
The 1819th prime number is 15601. The next prime is 15607 (a gap of 6) and the one before is 15583.
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 1819th one is 15601.
- 2
15601 is prime because no prime up to ā15601 ā 124.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1819th prime is close to 1819 Ć ln(1819) ā 13653, and here it is 15601.
- 4
15601 has no twin: neither 15599 nor 15603 is prime.
Primes around the 1819th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1816 | 15569 | 10 |
| 1817 | 15581 | 12 |
| 1818 | 15583 | 2 |
| 1819 | 15601 | 18 |
| 1820 | 15607 | 6 |
| 1821 | 15619 | 12 |
| 1822 | 15629 | 10 |
Questions
What is the 1819th prime number?
15601.
Which prime number is 15601?
15601 is the 1819th prime number.
What is the sum of the first 1819 primes?
13,290,578.