What is the 1836th prime number?
The 1836th prime number is 15739. The next prime is 15749 (a gap of 10) and the one before is 15737.
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 1836th one is 15739.
- 2
15739 is prime because no prime up to ā15739 ā 125.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1836th prime is close to 1836 Ć ln(1836) ā 13798, and here it is 15739.
- 4
15739 is a twin prime: 15737 and 15739 are both prime.
Primes around the 1836th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1833 | 15731 | 4 |
| 1834 | 15733 | 2 |
| 1835 | 15737 | 4 |
| 1836 | 15739 | 2 |
| 1837 | 15749 | 10 |
| 1838 | 15761 | 12 |
| 1839 | 15767 | 6 |
Questions
What is the 1836th prime number?
15739.
Which prime number is 15739?
15739 is the 1836th prime number.
What is the sum of the first 1836 primes?
13,557,041.