What is the 1840th prime number?
The 1840th prime number is 15773. The next prime is 15787 (a gap of 14) and the one before is 15767.
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 1840th one is 15773.
- 2
15773 is prime because no prime up to ā15773 ā 125.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1840th prime is close to 1840 Ć ln(1840) ā 13832, and here it is 15773.
- 4
15773 has no twin: neither 15771 nor 15775 is prime.
Primes around the 1840th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1837 | 15749 | 10 |
| 1838 | 15761 | 12 |
| 1839 | 15767 | 6 |
| 1840 | 15773 | 6 |
| 1841 | 15787 | 14 |
| 1842 | 15791 | 4 |
| 1843 | 15797 | 6 |
Questions
What is the 1840th prime number?
15773.
Which prime number is 15773?
15773 is the 1840th prime number.
What is the sum of the first 1840 primes?
13,620,091.