What is the 735th prime number?
The 735th prime number is 5569. The next prime is 5573 (a gap of 4) and the one before is 5563.
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 735th one is 5569.
- 2
5569 is prime because no prime up to ā5569 ā 74.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 735th prime is close to 735 Ć ln(735) ā 4851, and here it is 5569.
- 4
5569 has no twin: neither 5567 nor 5571 is prime.
Primes around the 735th
| Position | Prime | Gap from the previous |
|---|---|---|
| 732 | 5531 | 4 |
| 733 | 5557 | 26 |
| 734 | 5563 | 6 |
| 735 | 5569 | 6 |
| 736 | 5573 | 4 |
| 737 | 5581 | 8 |
| 738 | 5591 | 10 |
Questions
What is the 735th prime number?
5569.
Which prime number is 5569?
5569 is the 735th prime number.
What is the sum of the first 735 primes?
1,897,458.