What is the 1820th prime number?
The 1820th prime number is 15607. The next prime is 15619 (a gap of 12) and the one before is 15601.
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 1820th one is 15607.
- 2
15607 is prime because no prime up to ā15607 ā 124.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1820th prime is close to 1820 Ć ln(1820) ā 13662, and here it is 15607.
- 4
15607 has no twin: neither 15605 nor 15609 is prime.
Primes around the 1820th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1817 | 15581 | 12 |
| 1818 | 15583 | 2 |
| 1819 | 15601 | 18 |
| 1820 | 15607 | 6 |
| 1821 | 15619 | 12 |
| 1822 | 15629 | 10 |
| 1823 | 15641 | 12 |
Questions
What is the 1820th prime number?
15607.
Which prime number is 15607?
15607 is the 1820th prime number.
What is the sum of the first 1820 primes?
13,306,185.