What is the 1827th prime number?
The 1827th prime number is 15661. The next prime is 15667 (a gap of 6) and the one before is 15649.
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 1827th one is 15661.
- 2
15661 is prime because no prime up to ā15661 ā 125.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1827th prime is close to 1827 Ć ln(1827) ā 13722, and here it is 15661.
- 4
15661 has no twin: neither 15659 nor 15663 is prime.
Primes around the 1827th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1824 | 15643 | 2 |
| 1825 | 15647 | 4 |
| 1826 | 15649 | 2 |
| 1827 | 15661 | 12 |
| 1828 | 15667 | 6 |
| 1829 | 15671 | 4 |
| 1830 | 15679 | 8 |
Questions
What is the 1827th prime number?
15661.
Which prime number is 15661?
15661 is the 1827th prime number.
What is the sum of the first 1827 primes?
13,415,674.