What is the 1855th prime number?
The 1855th prime number is 15913. The next prime is 15919 (a gap of 6) and the one before is 15907.
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 1855th one is 15913.
- 2
15913 is prime because no prime up to ā15913 ā 126.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1855th prime is close to 1855 Ć ln(1855) ā 13960, and here it is 15913.
- 4
15913 has no twin: neither 15911 nor 15915 is prime.
Primes around the 1855th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1852 | 15889 | 2 |
| 1853 | 15901 | 12 |
| 1854 | 15907 | 6 |
| 1855 | 15913 | 6 |
| 1856 | 15919 | 6 |
| 1857 | 15923 | 4 |
| 1858 | 15937 | 14 |
Questions
What is the 1855th prime number?
15913.
Which prime number is 15913?
15913 is the 1855th prime number.
What is the sum of the first 1855 primes?
13,857,832.