What is the 2731st prime number?
The 2731st prime number is 24671. The next prime is 24677 (a gap of 6) and the one before is 24659.
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 2731st one is 24671.
- 2
24671 is prime because no prime up to ā24671 ā 157.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2731st prime is close to 2731 Ć ln(2731) ā 21609, and here it is 24671.
- 4
24671 has no twin: neither 24669 nor 24673 is prime.
Primes around the 2731st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2728 | 24623 | 12 |
| 2729 | 24631 | 8 |
| 2730 | 24659 | 28 |
| 2731 | 24671 | 12 |
| 2732 | 24677 | 6 |
| 2733 | 24683 | 6 |
| 2734 | 24691 | 8 |
Questions
What is the 2731st prime number?
24671.
Which prime number is 24671?
24671 is the 2731st prime number.
What is the sum of the first 2731 primes?
31,635,636.