What is the 2031st prime number?
The 2031st prime number is 17681. The next prime is 17683 (a gap of 2) and the one before is 17669.
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 2031st one is 17681.
- 2
17681 is prime because no prime up to ā17681 ā 132.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2031st prime is close to 2031 Ć ln(2031) ā 15469, and here it is 17681.
- 4
17681 is a twin prime: 17681 and 17683 are both prime.
Primes around the 2031st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2028 | 17657 | 30 |
| 2029 | 17659 | 2 |
| 2030 | 17669 | 10 |
| 2031 | 17681 | 12 |
| 2032 | 17683 | 2 |
| 2033 | 17707 | 24 |
| 2034 | 17713 | 6 |
Questions
What is the 2031st prime number?
17681.
Which prime number is 17681?
17681 is the 2031st prime number.
What is the sum of the first 2031 primes?
16,818,096.