What is the 1850th prime number?
The 1850th prime number is 15881. The next prime is 15887 (a gap of 6) and the one before is 15877.
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 1850th one is 15881.
- 2
15881 is prime because no prime up to ā15881 ā 126.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1850th prime is close to 1850 Ć ln(1850) ā 13917, and here it is 15881.
- 4
15881 has no twin: neither 15879 nor 15883 is prime.
Primes around the 1850th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1847 | 15823 | 6 |
| 1848 | 15859 | 36 |
| 1849 | 15877 | 18 |
| 1850 | 15881 | 4 |
| 1851 | 15887 | 6 |
| 1852 | 15889 | 2 |
| 1853 | 15901 | 12 |
Questions
What is the 1850th prime number?
15881.
Which prime number is 15881?
15881 is the 1850th prime number.
What is the sum of the first 1850 primes?
13,778,335.