What is the 1838th prime number?
The 1838th prime number is 15761. The next prime is 15767 (a gap of 6) and the one before is 15749.
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 1838th one is 15761.
- 2
15761 is prime because no prime up to ā15761 ā 125.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1838th prime is close to 1838 Ć ln(1838) ā 13815, and here it is 15761.
- 4
15761 has no twin: neither 15759 nor 15763 is prime.
Primes around the 1838th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1835 | 15737 | 4 |
| 1836 | 15739 | 2 |
| 1837 | 15749 | 10 |
| 1838 | 15761 | 12 |
| 1839 | 15767 | 6 |
| 1840 | 15773 | 6 |
| 1841 | 15787 | 14 |
Questions
What is the 1838th prime number?
15761.
Which prime number is 15761?
15761 is the 1838th prime number.
What is the sum of the first 1838 primes?
13,588,551.