What is the 5466th prime number?
The 5466th prime number is 53629. The next prime is 53633 (a gap of 4) and the one before is 53623.
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 5466th one is 53629.
- 2
53629 is prime because no prime up to ā53629 ā 231.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5466th prime is close to 5466 Ć ln(5466) ā 47042, and here it is 53629.
- 4
53629 has no twin: neither 53627 nor 53631 is prime.
Primes around the 5466th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5463 | 53611 | 2 |
| 5464 | 53617 | 6 |
| 5465 | 53623 | 6 |
| 5466 | 53629 | 6 |
| 5467 | 53633 | 4 |
| 5468 | 53639 | 6 |
| 5469 | 53653 | 14 |
Questions
What is the 5466th prime number?
53629.
Which prime number is 53629?
53629 is the 5466th prime number.
What is the sum of the first 5466 primes?
138,269,171.