What is the 5468th prime number?
The 5468th prime number is 53639. The next prime is 53653 (a gap of 14) and the one before is 53633.
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 5468th one is 53639.
- 2
53639 is prime because no prime up to ā53639 ā 231.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5468th prime is close to 5468 Ć ln(5468) ā 47061, and here it is 53639.
- 4
53639 has no twin: neither 53637 nor 53641 is prime.
Primes around the 5468th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5465 | 53623 | 6 |
| 5466 | 53629 | 6 |
| 5467 | 53633 | 4 |
| 5468 | 53639 | 6 |
| 5469 | 53653 | 14 |
| 5470 | 53657 | 4 |
| 5471 | 53681 | 24 |
Questions
What is the 5468th prime number?
53639.
Which prime number is 53639?
53639 is the 5468th prime number.
What is the sum of the first 5468 primes?
138,376,443.