What is the 2742nd prime number?
The 2742nd prime number is 24793. The next prime is 24799 (a gap of 6) and the one before is 24781.
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 2742nd one is 24793.
- 2
24793 is prime because no prime up to ā24793 ā 157.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2742nd prime is close to 2742 Ć ln(2742) ā 21707, and here it is 24793.
- 4
24793 has no twin: neither 24791 nor 24795 is prime.
Primes around the 2742nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2739 | 24763 | 14 |
| 2740 | 24767 | 4 |
| 2741 | 24781 | 14 |
| 2742 | 24793 | 12 |
| 2743 | 24799 | 6 |
| 2744 | 24809 | 10 |
| 2745 | 24821 | 12 |
Questions
What is the 2742nd prime number?
24793.
Which prime number is 24793?
24793 is the 2742nd prime number.
What is the sum of the first 2742 primes?
31,907,679.