What is the 1861st prime number?
The 1861st prime number is 15973. The next prime is 15991 (a gap of 18) and the one before is 15971.
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 1861st one is 15973.
- 2
15973 is prime because no prime up to ā15973 ā 126.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1861st prime is close to 1861 Ć ln(1861) ā 14011, and here it is 15973.
- 4
15973 is a twin prime: 15971 and 15973 are both prime.
Primes around the 1861st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1858 | 15937 | 14 |
| 1859 | 15959 | 22 |
| 1860 | 15971 | 12 |
| 1861 | 15973 | 2 |
| 1862 | 15991 | 18 |
| 1863 | 16001 | 10 |
| 1864 | 16007 | 6 |
Questions
What is the 1861st prime number?
15973.
Which prime number is 15973?
15973 is the 1861st prime number.
What is the sum of the first 1861 primes?
13,953,514.