What is the 741st prime number?
The 741st prime number is 5641. The next prime is 5647 (a gap of 6) and the one before is 5639.
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 741st one is 5641.
- 2
5641 is prime because no prime up to ā5641 ā 75.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 741st prime is close to 741 Ć ln(741) ā 4897, and here it is 5641.
- 4
5641 is a twin prime: 5639 and 5641 are both prime.
Primes around the 741st
| Position | Prime | Gap from the previous |
|---|---|---|
| 738 | 5591 | 10 |
| 739 | 5623 | 32 |
| 740 | 5639 | 16 |
| 741 | 5641 | 2 |
| 742 | 5647 | 6 |
| 743 | 5651 | 4 |
| 744 | 5653 | 2 |
Questions
What is the 741st prime number?
5641.
Which prime number is 5641?
5641 is the 741st prime number.
What is the sum of the first 741 primes?
1,931,106.