What is the 1853rd prime number?
The 1853rd prime number is 15901. The next prime is 15907 (a gap of 6) and the one before is 15889.
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 1853rd one is 15901.
- 2
15901 is prime because no prime up to ā15901 ā 126.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1853rd prime is close to 1853 Ć ln(1853) ā 13943, and here it is 15901.
- 4
15901 has no twin: neither 15899 nor 15903 is prime.
Primes around the 1853rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1850 | 15881 | 4 |
| 1851 | 15887 | 6 |
| 1852 | 15889 | 2 |
| 1853 | 15901 | 12 |
| 1854 | 15907 | 6 |
| 1855 | 15913 | 6 |
| 1856 | 15919 | 6 |
Questions
What is the 1853rd prime number?
15901.
Which prime number is 15901?
15901 is the 1853rd prime number.
What is the sum of the first 1853 primes?
13,826,012.