What is the 2741st prime number?
The 2741st prime number is 24781. The next prime is 24793 (a gap of 12) and the one before is 24767.
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 2741st one is 24781.
- 2
24781 is prime because no prime up to ā24781 ā 157.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2741st prime is close to 2741 Ć ln(2741) ā 21698, and here it is 24781.
- 4
24781 has no twin: neither 24779 nor 24783 is prime.
Primes around the 2741st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2738 | 24749 | 16 |
| 2739 | 24763 | 14 |
| 2740 | 24767 | 4 |
| 2741 | 24781 | 14 |
| 2742 | 24793 | 12 |
| 2743 | 24799 | 6 |
| 2744 | 24809 | 10 |
Questions
What is the 2741st prime number?
24781.
Which prime number is 24781?
24781 is the 2741st prime number.
What is the sum of the first 2741 primes?
31,882,886.