What is the 1862nd prime number?
The 1862nd prime number is 15991. The next prime is 16001 (a gap of 10) and the one before is 15973.
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 1862nd one is 15991.
- 2
15991 is prime because no prime up to ā15991 ā 126.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1862nd prime is close to 1862 Ć ln(1862) ā 14020, and here it is 15991.
- 4
15991 has no twin: neither 15989 nor 15993 is prime.
Primes around the 1862nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1859 | 15959 | 22 |
| 1860 | 15971 | 12 |
| 1861 | 15973 | 2 |
| 1862 | 15991 | 18 |
| 1863 | 16001 | 10 |
| 1864 | 16007 | 6 |
| 1865 | 16033 | 26 |
Questions
What is the 1862nd prime number?
15991.
Which prime number is 15991?
15991 is the 1862nd prime number.
What is the sum of the first 1862 primes?
13,969,505.