What is the 740th prime number?
The 740th prime number is 5639. The next prime is 5641 (a gap of 2) and the one before is 5623.
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 740th one is 5639.
- 2
5639 is prime because no prime up to ā5639 ā 75.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 740th prime is close to 740 Ć ln(740) ā 4889, and here it is 5639.
- 4
5639 is a twin prime: 5639 and 5641 are both prime.
Primes around the 740th
| Position | Prime | Gap from the previous |
|---|---|---|
| 737 | 5581 | 8 |
| 738 | 5591 | 10 |
| 739 | 5623 | 32 |
| 740 | 5639 | 16 |
| 741 | 5641 | 2 |
| 742 | 5647 | 6 |
| 743 | 5651 | 4 |
Questions
What is the 740th prime number?
5639.
Which prime number is 5639?
5639 is the 740th prime number.
What is the sum of the first 740 primes?
1,925,465.