What is the 738th prime number?
The 738th prime number is 5591. The next prime is 5623 (a gap of 32) and the one before is 5581.
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 738th one is 5591.
- 2
5591 is prime because no prime up to ā5591 ā 74.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 738th prime is close to 738 Ć ln(738) ā 4874, and here it is 5591.
- 4
5591 has no twin: neither 5589 nor 5593 is prime.
Primes around the 738th
| Position | Prime | Gap from the previous |
|---|---|---|
| 735 | 5569 | 6 |
| 736 | 5573 | 4 |
| 737 | 5581 | 8 |
| 738 | 5591 | 10 |
| 739 | 5623 | 32 |
| 740 | 5639 | 16 |
| 741 | 5641 | 2 |
Questions
What is the 738th prime number?
5591.
Which prime number is 5591?
5591 is the 738th prime number.
What is the sum of the first 738 primes?
1,914,203.