What is the 5649th prime number?
The 5649th prime number is 55667. The next prime is 55673 (a gap of 6) and the one before is 55663.
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 5649th one is 55667.
- 2
55667 is prime because no prime up to ā55667 ā 235.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5649th prime is close to 5649 Ć ln(5649) ā 48803, and here it is 55667.
- 4
55667 has no twin: neither 55665 nor 55669 is prime.
Primes around the 5649th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5646 | 55639 | 6 |
| 5647 | 55661 | 22 |
| 5648 | 55663 | 2 |
| 5649 | 55667 | 4 |
| 5650 | 55673 | 6 |
| 5651 | 55681 | 8 |
| 5652 | 55691 | 10 |
Questions
What is the 5649th prime number?
55667.
Which prime number is 55667?
55667 is the 5649th prime number.
What is the sum of the first 5649 primes?
148,269,108.