What is the 737th prime number?
The 737th prime number is 5581. The next prime is 5591 (a gap of 10) and the one before is 5573.
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 737th one is 5581.
- 2
5581 is prime because no prime up to ā5581 ā 74.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 737th prime is close to 737 Ć ln(737) ā 4866, and here it is 5581.
- 4
5581 has no twin: neither 5579 nor 5583 is prime.
Primes around the 737th
| Position | Prime | Gap from the previous |
|---|---|---|
| 734 | 5563 | 6 |
| 735 | 5569 | 6 |
| 736 | 5573 | 4 |
| 737 | 5581 | 8 |
| 738 | 5591 | 10 |
| 739 | 5623 | 32 |
| 740 | 5639 | 16 |
Questions
What is the 737th prime number?
5581.
Which prime number is 5581?
5581 is the 737th prime number.
What is the sum of the first 737 primes?
1,908,612.