What is the 1859th prime number?
The 1859th prime number is 15959. The next prime is 15971 (a gap of 12) and the one before is 15937.
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 1859th one is 15959.
- 2
15959 is prime because no prime up to ā15959 ā 126.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1859th prime is close to 1859 Ć ln(1859) ā 13994, and here it is 15959.
- 4
15959 has no twin: neither 15957 nor 15961 is prime.
Primes around the 1859th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1856 | 15919 | 6 |
| 1857 | 15923 | 4 |
| 1858 | 15937 | 14 |
| 1859 | 15959 | 22 |
| 1860 | 15971 | 12 |
| 1861 | 15973 | 2 |
| 1862 | 15991 | 18 |
Questions
What is the 1859th prime number?
15959.
Which prime number is 15959?
15959 is the 1859th prime number.
What is the sum of the first 1859 primes?
13,921,570.