What is the 2832nd prime number?
The 2832nd prime number is 25717. The next prime is 25733 (a gap of 16) and the one before is 25703.
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 2832nd one is 25717.
- 2
25717 is prime because no prime up to ā25717 ā 160.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2832nd prime is close to 2832 Ć ln(2832) ā 22511, and here it is 25717.
- 4
25717 has no twin: neither 25715 nor 25719 is prime.
Primes around the 2832nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2829 | 25679 | 6 |
| 2830 | 25693 | 14 |
| 2831 | 25703 | 10 |
| 2832 | 25717 | 14 |
| 2833 | 25733 | 16 |
| 2834 | 25741 | 8 |
| 2835 | 25747 | 6 |
Questions
What is the 2832nd prime number?
25717.
Which prime number is 25717?
25717 is the 2832nd prime number.
What is the sum of the first 2832 primes?
34,181,615.