What is the 5650th prime number?
The 5650th prime number is 55673. The next prime is 55681 (a gap of 8) and the one before is 55667.
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 5650th one is 55673.
- 2
55673 is prime because no prime up to ā55673 ā 235.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5650th prime is close to 5650 Ć ln(5650) ā 48813, and here it is 55673.
- 4
55673 has no twin: neither 55671 nor 55675 is prime.
Primes around the 5650th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5647 | 55661 | 22 |
| 5648 | 55663 | 2 |
| 5649 | 55667 | 4 |
| 5650 | 55673 | 6 |
| 5651 | 55681 | 8 |
| 5652 | 55691 | 10 |
| 5653 | 55697 | 6 |
Questions
What is the 5650th prime number?
55673.
Which prime number is 55673?
55673 is the 5650th prime number.
What is the sum of the first 5650 primes?
148,324,781.