What is the 5464th prime number?
The 5464th prime number is 53617. The next prime is 53623 (a gap of 6) and the one before is 53611.
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 5464th one is 53617.
- 2
53617 is prime because no prime up to ā53617 ā 231.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5464th prime is close to 5464 Ć ln(5464) ā 47023, and here it is 53617.
- 4
53617 has no twin: neither 53615 nor 53619 is prime.
Primes around the 5464th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5461 | 53597 | 4 |
| 5462 | 53609 | 12 |
| 5463 | 53611 | 2 |
| 5464 | 53617 | 6 |
| 5465 | 53623 | 6 |
| 5466 | 53629 | 6 |
| 5467 | 53633 | 4 |
Questions
What is the 5464th prime number?
53617.
Which prime number is 53617?
53617 is the 5464th prime number.
What is the sum of the first 5464 primes?
138,161,919.