What is the 1851st prime number?
The 1851st prime number is 15887. The next prime is 15889 (a gap of 2) and the one before is 15881.
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 1851st one is 15887.
- 2
15887 is prime because no prime up to ā15887 ā 126.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1851st prime is close to 1851 Ć ln(1851) ā 13926, and here it is 15887.
- 4
15887 is a twin prime: 15887 and 15889 are both prime.
Primes around the 1851st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1848 | 15859 | 36 |
| 1849 | 15877 | 18 |
| 1850 | 15881 | 4 |
| 1851 | 15887 | 6 |
| 1852 | 15889 | 2 |
| 1853 | 15901 | 12 |
| 1854 | 15907 | 6 |
Questions
What is the 1851st prime number?
15887.
Which prime number is 15887?
15887 is the 1851st prime number.
What is the sum of the first 1851 primes?
13,794,222.