What is the 2831st prime number?
The 2831st prime number is 25703. The next prime is 25717 (a gap of 14) and the one before is 25693.
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 2831st one is 25703.
- 2
25703 is prime because no prime up to ā25703 ā 160.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2831st prime is close to 2831 Ć ln(2831) ā 22502, and here it is 25703.
- 4
25703 has no twin: neither 25701 nor 25705 is prime.
Primes around the 2831st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2828 | 25673 | 6 |
| 2829 | 25679 | 6 |
| 2830 | 25693 | 14 |
| 2831 | 25703 | 10 |
| 2832 | 25717 | 14 |
| 2833 | 25733 | 16 |
| 2834 | 25741 | 8 |
Questions
What is the 2831st prime number?
25703.
Which prime number is 25703?
25703 is the 2831st prime number.
What is the sum of the first 2831 primes?
34,155,898.