What is the 5465th prime number?
The 5465th prime number is 53623. The next prime is 53629 (a gap of 6) and the one before is 53617.
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 5465th one is 53623.
- 2
53623 is prime because no prime up to ā53623 ā 231.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5465th prime is close to 5465 Ć ln(5465) ā 47032, and here it is 53623.
- 4
53623 has no twin: neither 53621 nor 53625 is prime.
Primes around the 5465th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5462 | 53609 | 12 |
| 5463 | 53611 | 2 |
| 5464 | 53617 | 6 |
| 5465 | 53623 | 6 |
| 5466 | 53629 | 6 |
| 5467 | 53633 | 4 |
| 5468 | 53639 | 6 |
Questions
What is the 5465th prime number?
53623.
Which prime number is 53623?
53623 is the 5465th prime number.
What is the sum of the first 5465 primes?
138,215,542.