What is the 1839th prime number?
The 1839th prime number is 15767. The next prime is 15773 (a gap of 6) and the one before is 15761.
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 1839th one is 15767.
- 2
15767 is prime because no prime up to ā15767 ā 125.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1839th prime is close to 1839 Ć ln(1839) ā 13824, and here it is 15767.
- 4
15767 has no twin: neither 15765 nor 15769 is prime.
Primes around the 1839th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1836 | 15739 | 2 |
| 1837 | 15749 | 10 |
| 1838 | 15761 | 12 |
| 1839 | 15767 | 6 |
| 1840 | 15773 | 6 |
| 1841 | 15787 | 14 |
| 1842 | 15791 | 4 |
Questions
What is the 1839th prime number?
15767.
Which prime number is 15767?
15767 is the 1839th prime number.
What is the sum of the first 1839 primes?
13,604,318.