What is the 1831st prime number?
The 1831st prime number is 15683. The next prime is 15727 (a gap of 44) and the one before is 15679.
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 1831st one is 15683.
- 2
15683 is prime because no prime up to ā15683 ā 125.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1831st prime is close to 1831 Ć ln(1831) ā 13756, and here it is 15683.
- 4
15683 has no twin: neither 15681 nor 15685 is prime.
Primes around the 1831st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1828 | 15667 | 6 |
| 1829 | 15671 | 4 |
| 1830 | 15679 | 8 |
| 1831 | 15683 | 4 |
| 1832 | 15727 | 44 |
| 1833 | 15731 | 4 |
| 1834 | 15733 | 2 |
Questions
What is the 1831st prime number?
15683.
Which prime number is 15683?
15683 is the 1831st prime number.
What is the sum of the first 1831 primes?
13,478,374.