What is the 734th prime number?
The 734th prime number is 5563. The next prime is 5569 (a gap of 6) and the one before is 5557.
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 734th one is 5563.
- 2
5563 is prime because no prime up to ā5563 ā 74.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 734th prime is close to 734 Ć ln(734) ā 4843, and here it is 5563.
- 4
5563 has no twin: neither 5561 nor 5565 is prime.
Primes around the 734th
| Position | Prime | Gap from the previous |
|---|---|---|
| 731 | 5527 | 6 |
| 732 | 5531 | 4 |
| 733 | 5557 | 26 |
| 734 | 5563 | 6 |
| 735 | 5569 | 6 |
| 736 | 5573 | 4 |
| 737 | 5581 | 8 |
Questions
What is the 734th prime number?
5563.
Which prime number is 5563?
5563 is the 734th prime number.
What is the sum of the first 734 primes?
1,891,889.