What is the 1852nd prime number?
The 1852nd prime number is 15889. The next prime is 15901 (a gap of 12) and the one before is 15887.
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 1852nd one is 15889.
- 2
15889 is prime because no prime up to ā15889 ā 126.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1852nd prime is close to 1852 Ć ln(1852) ā 13934, and here it is 15889.
- 4
15889 is a twin prime: 15887 and 15889 are both prime.
Primes around the 1852nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1849 | 15877 | 18 |
| 1850 | 15881 | 4 |
| 1851 | 15887 | 6 |
| 1852 | 15889 | 2 |
| 1853 | 15901 | 12 |
| 1854 | 15907 | 6 |
| 1855 | 15913 | 6 |
Questions
What is the 1852nd prime number?
15889.
Which prime number is 15889?
15889 is the 1852nd prime number.
What is the sum of the first 1852 primes?
13,810,111.