What is the 1854th prime number?
The 1854th prime number is 15907. The next prime is 15913 (a gap of 6) and the one before is 15901.
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 1854th one is 15907.
- 2
15907 is prime because no prime up to ā15907 ā 126.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1854th prime is close to 1854 Ć ln(1854) ā 13952, and here it is 15907.
- 4
15907 has no twin: neither 15905 nor 15909 is prime.
Primes around the 1854th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1851 | 15887 | 6 |
| 1852 | 15889 | 2 |
| 1853 | 15901 | 12 |
| 1854 | 15907 | 6 |
| 1855 | 15913 | 6 |
| 1856 | 15919 | 6 |
| 1857 | 15923 | 4 |
Questions
What is the 1854th prime number?
15907.
Which prime number is 15907?
15907 is the 1854th prime number.
What is the sum of the first 1854 primes?
13,841,919.