What is the 5617th prime number?
The 5617th prime number is 55313. The next prime is 55331 (a gap of 18) and the one before is 55291.
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 5617th one is 55313.
- 2
55313 is prime because no prime up to ā55313 ā 235.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5617th prime is close to 5617 Ć ln(5617) ā 48495, and here it is 55313.
- 4
55313 has no twin: neither 55311 nor 55315 is prime.
Primes around the 5617th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5614 | 55249 | 6 |
| 5615 | 55259 | 10 |
| 5616 | 55291 | 32 |
| 5617 | 55313 | 22 |
| 5618 | 55331 | 18 |
| 5619 | 55333 | 2 |
| 5620 | 55337 | 4 |
Questions
What is the 5617th prime number?
55313.
Which prime number is 55313?
55313 is the 5617th prime number.
What is the sum of the first 5617 primes?
146,493,074.