What is the 1802nd prime number?
The 1802nd prime number is 15427. The next prime is 15439 (a gap of 12) and the one before is 15413.
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 1802nd one is 15427.
- 2
15427 is prime because no prime up to ā15427 ā 124.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1802nd prime is close to 1802 Ć ln(1802) ā 13509, and here it is 15427.
- 4
15427 has no twin: neither 15425 nor 15429 is prime.
Primes around the 1802nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1799 | 15391 | 8 |
| 1800 | 15401 | 10 |
| 1801 | 15413 | 12 |
| 1802 | 15427 | 14 |
| 1803 | 15439 | 12 |
| 1804 | 15443 | 4 |
| 1805 | 15451 | 8 |
Questions
What is the 1802nd prime number?
15427.
Which prime number is 15427?
15427 is the 1802nd prime number.
What is the sum of the first 1802 primes?
13,026,831.