What is the 5646th prime number?
The 5646th prime number is 55639. The next prime is 55661 (a gap of 22) and the one before is 55633.
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 5646th one is 55639.
- 2
55639 is prime because no prime up to ā55639 ā 235.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5646th prime is close to 5646 Ć ln(5646) ā 48774, and here it is 55639.
- 4
55639 has no twin: neither 55637 nor 55641 is prime.
Primes around the 5646th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5643 | 55621 | 2 |
| 5644 | 55631 | 10 |
| 5645 | 55633 | 2 |
| 5646 | 55639 | 6 |
| 5647 | 55661 | 22 |
| 5648 | 55663 | 2 |
| 5649 | 55667 | 4 |
Questions
What is the 5646th prime number?
55639.
Which prime number is 55639?
55639 is the 5646th prime number.
What is the sum of the first 5646 primes?
148,102,117.