What is the 1857th prime number?
The 1857th prime number is 15923. The next prime is 15937 (a gap of 14) and the one before is 15919.
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 1857th one is 15923.
- 2
15923 is prime because no prime up to ā15923 ā 126.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1857th prime is close to 1857 Ć ln(1857) ā 13977, and here it is 15923.
- 4
15923 has no twin: neither 15921 nor 15925 is prime.
Primes around the 1857th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1854 | 15907 | 6 |
| 1855 | 15913 | 6 |
| 1856 | 15919 | 6 |
| 1857 | 15923 | 4 |
| 1858 | 15937 | 14 |
| 1859 | 15959 | 22 |
| 1860 | 15971 | 12 |
Questions
What is the 1857th prime number?
15923.
Which prime number is 15923?
15923 is the 1857th prime number.
What is the sum of the first 1857 primes?
13,889,674.