What is the 1858th prime number?
The 1858th prime number is 15937. The next prime is 15959 (a gap of 22) and the one before is 15923.
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 1858th one is 15937.
- 2
15937 is prime because no prime up to ā15937 ā 126.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1858th prime is close to 1858 Ć ln(1858) ā 13986, and here it is 15937.
- 4
15937 has no twin: neither 15935 nor 15939 is prime.
Primes around the 1858th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1855 | 15913 | 6 |
| 1856 | 15919 | 6 |
| 1857 | 15923 | 4 |
| 1858 | 15937 | 14 |
| 1859 | 15959 | 22 |
| 1860 | 15971 | 12 |
| 1861 | 15973 | 2 |
Questions
What is the 1858th prime number?
15937.
Which prime number is 15937?
15937 is the 1858th prime number.
What is the sum of the first 1858 primes?
13,905,611.