What is the 1860th prime number?
The 1860th prime number is 15971. The next prime is 15973 (a gap of 2) and the one before is 15959.
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 1860th one is 15971.
- 2
15971 is prime because no prime up to ā15971 ā 126.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1860th prime is close to 1860 Ć ln(1860) ā 14003, and here it is 15971.
- 4
15971 is a twin prime: 15971 and 15973 are both prime.
Primes around the 1860th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1857 | 15923 | 4 |
| 1858 | 15937 | 14 |
| 1859 | 15959 | 22 |
| 1860 | 15971 | 12 |
| 1861 | 15973 | 2 |
| 1862 | 15991 | 18 |
| 1863 | 16001 | 10 |
Questions
What is the 1860th prime number?
15971.
Which prime number is 15971?
15971 is the 1860th prime number.
What is the sum of the first 1860 primes?
13,937,541.